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Finding the Third Proportional to 52,642.50 and 82,722

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Solution

The third proportional to 52,642.50 and 82,722 is: 129,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.50 : 82,722 = 82,722 : x
  2. Step 2: Convert to fraction form
    52,642.50/82,722 = 82,722/x
  3. Step 3: Cross multiply
    52,642.50x = 82,722 × 82,722
  4. Step 4: Simplify right side
    52,642.50x = 6,842,929,284
  5. Step 5: Solve for x
    x = 6,842,929,284/52,642.50
  6. Step 6: Final answer
    x = 129,988.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.