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Finding the Third Proportional to 39,405 and 59,147

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Solution

The third proportional to 39,405 and 59,147 is: 88,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 59,147 = 59,147 : x
  2. Step 2: Convert to fraction form
    39,405/59,147 = 59,147/x
  3. Step 3: Cross multiply
    39,405x = 59,147 × 59,147
  4. Step 4: Simplify right side
    39,405x = 3,498,367,609
  5. Step 5: Solve for x
    x = 3,498,367,609/39,405
  6. Step 6: Final answer
    x = 88,779.79

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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.