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Finding the Third Proportional to 87,458 and 135,063

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Solution

The third proportional to 87,458 and 135,063 is: 208,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,458 : 135,063 = 135,063 : x
  2. Step 2: Convert to fraction form
    87,458/135,063 = 135,063/x
  3. Step 3: Cross multiply
    87,458x = 135,063 × 135,063
  4. Step 4: Simplify right side
    87,458x = 18,242,013,969
  5. Step 5: Solve for x
    x = 18,242,013,969/87,458
  6. Step 6: Final answer
    x = 208,580.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.