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Finding the Third Proportional to 87,465.38 and 139,242.38

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Solution

The third proportional to 87,465.38 and 139,242.38 is: 221,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,465.38 : 139,242.38 = 139,242.38 : x
  2. Step 2: Convert to fraction form
    87,465.38/139,242.38 = 139,242.38/x
  3. Step 3: Cross multiply
    87,465.38x = 139,242.38 × 139,242.38
  4. Step 4: Simplify right side
    87,465.38x = 19,388,438,995.64
  5. Step 5: Solve for x
    x = 19,388,438,995.64/87,465.38
  6. Step 6: Final answer
    x = 221,669.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.