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Finding the Third Proportional to 898,548,094,128 and 1,828,477,304,160

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Solution

The third proportional to 898,548,094,128 and 1,828,477,304,160 is: 3,720,812,801,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,548,094,128 : 1,828,477,304,160 = 1,828,477,304,160 : x
  2. Step 2: Convert to fraction form
    898,548,094,128/1,828,477,304,160 = 1,828,477,304,160/x
  3. Step 3: Cross multiply
    898,548,094,128x = 1,828,477,304,160 × 1,828,477,304,160
  4. Step 4: Simplify right side
    898,548,094,128x = 3,343,329,251,828,221,201,088,512
  5. Step 5: Solve for x
    x = 3,343,329,251,828,221,201,088,512/898,548,094,128
  6. Step 6: Final answer
    x = 3,720,812,801,982.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.