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Finding the Third Proportional to 12,587 and 29,397.50

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Solution

The third proportional to 12,587 and 29,397.50 is: 68,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587 : 29,397.50 = 29,397.50 : x
  2. Step 2: Convert to fraction form
    12,587/29,397.50 = 29,397.50/x
  3. Step 3: Cross multiply
    12,587x = 29,397.50 × 29,397.50
  4. Step 4: Simplify right side
    12,587x = 864,213,006.25
  5. Step 5: Solve for x
    x = 864,213,006.25/12,587
  6. Step 6: Final answer
    x = 68,659.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.