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Finding the Third Proportional to 87,681 and 120,585

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Solution

The third proportional to 87,681 and 120,585 is: 165,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,681 : 120,585 = 120,585 : x
  2. Step 2: Convert to fraction form
    87,681/120,585 = 120,585/x
  3. Step 3: Cross multiply
    87,681x = 120,585 × 120,585
  4. Step 4: Simplify right side
    87,681x = 14,540,742,225
  5. Step 5: Solve for x
    x = 14,540,742,225/87,681
  6. Step 6: Final answer
    x = 165,836.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.