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Finding the Third Proportional to 39,920 and 55,506

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Solution

The third proportional to 39,920 and 55,506 is: 77,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,920 : 55,506 = 55,506 : x
  2. Step 2: Convert to fraction form
    39,920/55,506 = 55,506/x
  3. Step 3: Cross multiply
    39,920x = 55,506 × 55,506
  4. Step 4: Simplify right side
    39,920x = 3,080,916,036
  5. Step 5: Solve for x
    x = 3,080,916,036/39,920
  6. Step 6: Final answer
    x = 77,177.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.