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Finding the Third Proportional to 12,398 and 15,715

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Solution

The third proportional to 12,398 and 15,715 is: 19,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398 : 15,715 = 15,715 : x
  2. Step 2: Convert to fraction form
    12,398/15,715 = 15,715/x
  3. Step 3: Cross multiply
    12,398x = 15,715 × 15,715
  4. Step 4: Simplify right side
    12,398x = 246,961,225
  5. Step 5: Solve for x
    x = 246,961,225/12,398
  6. Step 6: Final answer
    x = 19,919.44

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.