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Finding the Third Proportional to 272,126,394 and 418,839,876

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Solution

The third proportional to 272,126,394 and 418,839,876 is: 644,652,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,126,394 : 418,839,876 = 418,839,876 : x
  2. Step 2: Convert to fraction form
    272,126,394/418,839,876 = 418,839,876/x
  3. Step 3: Cross multiply
    272,126,394x = 418,839,876 × 418,839,876
  4. Step 4: Simplify right side
    272,126,394x = 175,426,841,727,695,360
  5. Step 5: Solve for x
    x = 175,426,841,727,695,360/272,126,394
  6. Step 6: Final answer
    x = 644,652,064.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.