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Finding the Third Proportional to 153,429 and 328,180

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Solution

The third proportional to 153,429 and 328,180 is: 701,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,429 : 328,180 = 328,180 : x
  2. Step 2: Convert to fraction form
    153,429/328,180 = 328,180/x
  3. Step 3: Cross multiply
    153,429x = 328,180 × 328,180
  4. Step 4: Simplify right side
    153,429x = 107,702,112,400
  5. Step 5: Solve for x
    x = 107,702,112,400/153,429
  6. Step 6: Final answer
    x = 701,967.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.