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Finding the Third Proportional to 32,920 and 71,460

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Solution

The third proportional to 32,920 and 71,460 is: 155,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920 : 71,460 = 71,460 : x
  2. Step 2: Convert to fraction form
    32,920/71,460 = 71,460/x
  3. Step 3: Cross multiply
    32,920x = 71,460 × 71,460
  4. Step 4: Simplify right side
    32,920x = 5,106,531,600
  5. Step 5: Solve for x
    x = 5,106,531,600/32,920
  6. Step 6: Final answer
    x = 155,119.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.