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Finding the Third Proportional to 87,411.66 and 138,145.50

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Solution

The third proportional to 87,411.66 and 138,145.50 is: 218,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,411.66 : 138,145.50 = 138,145.50 : x
  2. Step 2: Convert to fraction form
    87,411.66/138,145.50 = 138,145.50/x
  3. Step 3: Cross multiply
    87,411.66x = 138,145.50 × 138,145.50
  4. Step 4: Simplify right side
    87,411.66x = 19,084,179,170.25
  5. Step 5: Solve for x
    x = 19,084,179,170.25/87,411.66
  6. Step 6: Final answer
    x = 218,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.