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Finding the Third Proportional to 86,704 and 137,328

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Solution

The third proportional to 86,704 and 137,328 is: 217,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,704 : 137,328 = 137,328 : x
  2. Step 2: Convert to fraction form
    86,704/137,328 = 137,328/x
  3. Step 3: Cross multiply
    86,704x = 137,328 × 137,328
  4. Step 4: Simplify right side
    86,704x = 18,858,979,584
  5. Step 5: Solve for x
    x = 18,858,979,584/86,704
  6. Step 6: Final answer
    x = 217,509.91

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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.