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Finding the Third Proportional to 39,920 and 58,124

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Solution

The third proportional to 39,920 and 58,124 is: 84,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,920 : 58,124 = 58,124 : x
  2. Step 2: Convert to fraction form
    39,920/58,124 = 58,124/x
  3. Step 3: Cross multiply
    39,920x = 58,124 × 58,124
  4. Step 4: Simplify right side
    39,920x = 3,378,399,376
  5. Step 5: Solve for x
    x = 3,378,399,376/39,920
  6. Step 6: Final answer
    x = 84,629.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.