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Finding the Third Proportional to 333,268,783,236 and 730,207,701,360

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Solution

The third proportional to 333,268,783,236 and 730,207,701,360 is: 1,599,919,686,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,268,783,236 : 730,207,701,360 = 730,207,701,360 : x
  2. Step 2: Convert to fraction form
    333,268,783,236/730,207,701,360 = 730,207,701,360/x
  3. Step 3: Cross multiply
    333,268,783,236x = 730,207,701,360 × 730,207,701,360
  4. Step 4: Simplify right side
    333,268,783,236x = 533,203,287,125,454,955,216,896
  5. Step 5: Solve for x
    x = 533,203,287,125,454,955,216,896/333,268,783,236
  6. Step 6: Final answer
    x = 1,599,919,686,290.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.