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Finding the Third Proportional to 12,487 and 18,865

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Solution

The third proportional to 12,487 and 18,865 is: 28,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,487 : 18,865 = 18,865 : x
  2. Step 2: Convert to fraction form
    12,487/18,865 = 18,865/x
  3. Step 3: Cross multiply
    12,487x = 18,865 × 18,865
  4. Step 4: Simplify right side
    12,487x = 355,888,225
  5. Step 5: Solve for x
    x = 355,888,225/12,487
  6. Step 6: Final answer
    x = 28,500.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.