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Finding the Third Proportional to 9,902.25 and 20,432.25

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Solution

The third proportional to 9,902.25 and 20,432.25 is: 42,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.25 : 20,432.25 = 20,432.25 : x
  2. Step 2: Convert to fraction form
    9,902.25/20,432.25 = 20,432.25/x
  3. Step 3: Cross multiply
    9,902.25x = 20,432.25 × 20,432.25
  4. Step 4: Simplify right side
    9,902.25x = 417,476,840.06
  5. Step 5: Solve for x
    x = 417,476,840.06/9,902.25
  6. Step 6: Final answer
    x = 42,159.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.