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Finding the Third Proportional to 5,419,742.91 and 7,979,892.19

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Solution

The third proportional to 5,419,742.91 and 7,979,892.19 is: 11,749,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419,742.91 : 7,979,892.19 = 7,979,892.19 : x
  2. Step 2: Convert to fraction form
    5,419,742.91/7,979,892.19 = 7,979,892.19/x
  3. Step 3: Cross multiply
    5,419,742.91x = 7,979,892.19 × 7,979,892.19
  4. Step 4: Simplify right side
    5,419,742.91x = 63,678,679,324,123.53
  5. Step 5: Solve for x
    x = 63,678,679,324,123.53/5,419,742.91
  6. Step 6: Final answer
    x = 11,749,391.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.