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Finding the Third Proportional to 39,907 and 59,515

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Solution

The third proportional to 39,907 and 59,515 is: 88,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,907 : 59,515 = 59,515 : x
  2. Step 2: Convert to fraction form
    39,907/59,515 = 59,515/x
  3. Step 3: Cross multiply
    39,907x = 59,515 × 59,515
  4. Step 4: Simplify right side
    39,907x = 3,542,035,225
  5. Step 5: Solve for x
    x = 3,542,035,225/39,907
  6. Step 6: Final answer
    x = 88,757.24

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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.