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Finding the Third Proportional to 103,987 and 156,911

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Solution

The third proportional to 103,987 and 156,911 is: 236,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,987 : 156,911 = 156,911 : x
  2. Step 2: Convert to fraction form
    103,987/156,911 = 156,911/x
  3. Step 3: Cross multiply
    103,987x = 156,911 × 156,911
  4. Step 4: Simplify right side
    103,987x = 24,621,061,921
  5. Step 5: Solve for x
    x = 24,621,061,921/103,987
  6. Step 6: Final answer
    x = 236,770.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.