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Finding the Third Proportional to 39,911 and 59,867

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Solution

The third proportional to 39,911 and 59,867 is: 89,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,911 : 59,867 = 59,867 : x
  2. Step 2: Convert to fraction form
    39,911/59,867 = 59,867/x
  3. Step 3: Cross multiply
    39,911x = 59,867 × 59,867
  4. Step 4: Simplify right side
    39,911x = 3,584,057,689
  5. Step 5: Solve for x
    x = 3,584,057,689/39,911
  6. Step 6: Final answer
    x = 89,801.25

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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.