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Finding the Third Proportional to 39,919 and 59,880

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Solution

The third proportional to 39,919 and 59,880 is: 89,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,919 : 59,880 = 59,880 : x
  2. Step 2: Convert to fraction form
    39,919/59,880 = 59,880/x
  3. Step 3: Cross multiply
    39,919x = 59,880 × 59,880
  4. Step 4: Simplify right side
    39,919x = 3,585,614,400
  5. Step 5: Solve for x
    x = 3,585,614,400/39,919
  6. Step 6: Final answer
    x = 89,822.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.