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Finding the Third Proportional to 129,825,828 and 274,138,344

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Solution

The third proportional to 129,825,828 and 274,138,344 is: 578,866,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825,828 : 274,138,344 = 274,138,344 : x
  2. Step 2: Convert to fraction form
    129,825,828/274,138,344 = 274,138,344/x
  3. Step 3: Cross multiply
    129,825,828x = 274,138,344 × 274,138,344
  4. Step 4: Simplify right side
    129,825,828x = 75,151,831,651,062,336
  5. Step 5: Solve for x
    x = 75,151,831,651,062,336/129,825,828
  6. Step 6: Final answer
    x = 578,866,569.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.