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Finding the Third Proportional to 129,933,343.13 and 288,917,687.25

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Solution

The third proportional to 129,933,343.13 and 288,917,687.25 is: 642,432,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,933,343.13 : 288,917,687.25 = 288,917,687.25 : x
  2. Step 2: Convert to fraction form
    129,933,343.13/288,917,687.25 = 288,917,687.25/x
  3. Step 3: Cross multiply
    129,933,343.13x = 288,917,687.25 × 288,917,687.25
  4. Step 4: Simplify right side
    129,933,343.13x = 83,473,430,005,888,816
  5. Step 5: Solve for x
    x = 83,473,430,005,888,816/129,933,343.13
  6. Step 6: Final answer
    x = 642,432,712.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.