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Finding the Third Proportional to 9,660.50 and 14,693

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Solution

The third proportional to 9,660.50 and 14,693 is: 22,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.50 : 14,693 = 14,693 : x
  2. Step 2: Convert to fraction form
    9,660.50/14,693 = 14,693/x
  3. Step 3: Cross multiply
    9,660.50x = 14,693 × 14,693
  4. Step 4: Simplify right side
    9,660.50x = 215,884,249
  5. Step 5: Solve for x
    x = 215,884,249/9,660.50
  6. Step 6: Final answer
    x = 22,347.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.