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Finding the Third Proportional to 40,567 and 87,130

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Solution

The third proportional to 40,567 and 87,130 is: 187,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,567 : 87,130 = 87,130 : x
  2. Step 2: Convert to fraction form
    40,567/87,130 = 87,130/x
  3. Step 3: Cross multiply
    40,567x = 87,130 × 87,130
  4. Step 4: Simplify right side
    40,567x = 7,591,636,900
  5. Step 5: Solve for x
    x = 7,591,636,900/40,567
  6. Step 6: Final answer
    x = 187,138.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.