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Finding the Third Proportional to 9,932.25 and 20,681.25

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Solution

The third proportional to 9,932.25 and 20,681.25 is: 43,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.25 : 20,681.25 = 20,681.25 : x
  2. Step 2: Convert to fraction form
    9,932.25/20,681.25 = 20,681.25/x
  3. Step 3: Cross multiply
    9,932.25x = 20,681.25 × 20,681.25
  4. Step 4: Simplify right side
    9,932.25x = 427,714,101.56
  5. Step 5: Solve for x
    x = 427,714,101.56/9,932.25
  6. Step 6: Final answer
    x = 43,063.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.