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Finding the Third Proportional to 129,283,902 and 279,078,948

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Solution

The third proportional to 129,283,902 and 279,078,948 is: 602,434,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,283,902 : 279,078,948 = 279,078,948 : x
  2. Step 2: Convert to fraction form
    129,283,902/279,078,948 = 279,078,948/x
  3. Step 3: Cross multiply
    129,283,902x = 279,078,948 × 279,078,948
  4. Step 4: Simplify right side
    129,283,902x = 77,885,059,216,786,704
  5. Step 5: Solve for x
    x = 77,885,059,216,786,704/129,283,902
  6. Step 6: Final answer
    x = 602,434,317.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.