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Finding the Third Proportional to 32,940 and 71,052

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Solution

The third proportional to 32,940 and 71,052 is: 153,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940 : 71,052 = 71,052 : x
  2. Step 2: Convert to fraction form
    32,940/71,052 = 71,052/x
  3. Step 3: Cross multiply
    32,940x = 71,052 × 71,052
  4. Step 4: Simplify right side
    32,940x = 5,048,386,704
  5. Step 5: Solve for x
    x = 5,048,386,704/32,940
  6. Step 6: Final answer
    x = 153,260.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.