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Finding the Third Proportional to 12,500 and 27,187

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Solution

The third proportional to 12,500 and 27,187 is: 59,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500 : 27,187 = 27,187 : x
  2. Step 2: Convert to fraction form
    12,500/27,187 = 27,187/x
  3. Step 3: Cross multiply
    12,500x = 27,187 × 27,187
  4. Step 4: Simplify right side
    12,500x = 739,132,969
  5. Step 5: Solve for x
    x = 739,132,969/12,500
  6. Step 6: Final answer
    x = 59,130.64

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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.