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Finding the Third Proportional to 80,400 and 162,987

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Solution

The third proportional to 80,400 and 162,987 is: 330,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,400 : 162,987 = 162,987 : x
  2. Step 2: Convert to fraction form
    80,400/162,987 = 162,987/x
  3. Step 3: Cross multiply
    80,400x = 162,987 × 162,987
  4. Step 4: Simplify right side
    80,400x = 26,564,762,169
  5. Step 5: Solve for x
    x = 26,564,762,169/80,400
  6. Step 6: Final answer
    x = 330,407.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.