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Finding the Third Proportional to 39,409 and 59,115

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Solution

The third proportional to 39,409 and 59,115 is: 88,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409 : 59,115 = 59,115 : x
  2. Step 2: Convert to fraction form
    39,409/59,115 = 59,115/x
  3. Step 3: Cross multiply
    39,409x = 59,115 × 59,115
  4. Step 4: Simplify right side
    39,409x = 3,494,583,225
  5. Step 5: Solve for x
    x = 3,494,583,225/39,409
  6. Step 6: Final answer
    x = 88,674.75

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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.