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Finding the Third Proportional to 10,909.69 and 15,534.28

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Solution

The third proportional to 10,909.69 and 15,534.28 is: 22,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 15,534.28 = 15,534.28 : x
  2. Step 2: Convert to fraction form
    10,909.69/15,534.28 = 15,534.28/x
  3. Step 3: Cross multiply
    10,909.69x = 15,534.28 × 15,534.28
  4. Step 4: Simplify right side
    10,909.69x = 241,313,893.95
  5. Step 5: Solve for x
    x = 241,313,893.95/10,909.69
  6. Step 6: Final answer
    x = 22,119.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.