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Finding the Third Proportional to 39,684 and 86,280

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Solution

The third proportional to 39,684 and 86,280 is: 187,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 86,280 = 86,280 : x
  2. Step 2: Convert to fraction form
    39,684/86,280 = 86,280/x
  3. Step 3: Cross multiply
    39,684x = 86,280 × 86,280
  4. Step 4: Simplify right side
    39,684x = 7,444,238,400
  5. Step 5: Solve for x
    x = 7,444,238,400/39,684
  6. Step 6: Final answer
    x = 187,587.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.