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Finding the Third Proportional to 32,420 and 71,644

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Solution

The third proportional to 32,420 and 71,644 is: 158,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420 : 71,644 = 71,644 : x
  2. Step 2: Convert to fraction form
    32,420/71,644 = 71,644/x
  3. Step 3: Cross multiply
    32,420x = 71,644 × 71,644
  4. Step 4: Simplify right side
    32,420x = 5,132,862,736
  5. Step 5: Solve for x
    x = 5,132,862,736/32,420
  6. Step 6: Final answer
    x = 158,323.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.