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Finding the Third Proportional to 9,752.50 and 21,497

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Solution

The third proportional to 9,752.50 and 21,497 is: 47,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.50 : 21,497 = 21,497 : x
  2. Step 2: Convert to fraction form
    9,752.50/21,497 = 21,497/x
  3. Step 3: Cross multiply
    9,752.50x = 21,497 × 21,497
  4. Step 4: Simplify right side
    9,752.50x = 462,121,009
  5. Step 5: Solve for x
    x = 462,121,009/9,752.50
  6. Step 6: Final answer
    x = 47,384.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.