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Finding the Third Proportional to 39,980 and 59,750

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Solution

The third proportional to 39,980 and 59,750 is: 89,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,980 : 59,750 = 59,750 : x
  2. Step 2: Convert to fraction form
    39,980/59,750 = 59,750/x
  3. Step 3: Cross multiply
    39,980x = 59,750 × 59,750
  4. Step 4: Simplify right side
    39,980x = 3,570,062,500
  5. Step 5: Solve for x
    x = 3,570,062,500/39,980
  6. Step 6: Final answer
    x = 89,296.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.