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Finding the Third Proportional to 87,471.75 and 139,251.75

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Solution

The third proportional to 87,471.75 and 139,251.75 is: 221,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,471.75 : 139,251.75 = 139,251.75 : x
  2. Step 2: Convert to fraction form
    87,471.75/139,251.75 = 139,251.75/x
  3. Step 3: Cross multiply
    87,471.75x = 139,251.75 × 139,251.75
  4. Step 4: Simplify right side
    87,471.75x = 19,391,049,878.06
  5. Step 5: Solve for x
    x = 19,391,049,878.06/87,471.75
  6. Step 6: Final answer
    x = 221,683.57

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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.