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Finding the Third Proportional to 38,192,212.13 and 78,149,323.13

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Solution

The third proportional to 38,192,212.13 and 78,149,323.13 is: 159,910,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,192,212.13 : 78,149,323.13 = 78,149,323.13 : x
  2. Step 2: Convert to fraction form
    38,192,212.13/78,149,323.13 = 78,149,323.13/x
  3. Step 3: Cross multiply
    38,192,212.13x = 78,149,323.13 × 78,149,323.13
  4. Step 4: Simplify right side
    38,192,212.13x = 6,107,316,704,895,660
  5. Step 5: Solve for x
    x = 6,107,316,704,895,660/38,192,212.13
  6. Step 6: Final answer
    x = 159,910,001.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.