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Finding the Third Proportional to 9,715 and 14,689

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Solution

The third proportional to 9,715 and 14,689 is: 22,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715 : 14,689 = 14,689 : x
  2. Step 2: Convert to fraction form
    9,715/14,689 = 14,689/x
  3. Step 3: Cross multiply
    9,715x = 14,689 × 14,689
  4. Step 4: Simplify right side
    9,715x = 215,766,721
  5. Step 5: Solve for x
    x = 215,766,721/9,715
  6. Step 6: Final answer
    x = 22,209.65

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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.