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Finding the Third Proportional to 178,367,211 and 272,881,909.13

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Solution

The third proportional to 178,367,211 and 272,881,909.13 is: 417,478,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,367,211 : 272,881,909.13 = 272,881,909.13 : x
  2. Step 2: Convert to fraction form
    178,367,211/272,881,909.13 = 272,881,909.13/x
  3. Step 3: Cross multiply
    178,367,211x = 272,881,909.13 × 272,881,909.13
  4. Step 4: Simplify right side
    178,367,211x = 74,464,536,327,704,752
  5. Step 5: Solve for x
    x = 74,464,536,327,704,752/178,367,211
  6. Step 6: Final answer
    x = 417,478,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.