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Finding the Third Proportional to 100,878 and 156,102

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Solution

The third proportional to 100,878 and 156,102 is: 241,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878 : 156,102 = 156,102 : x
  2. Step 2: Convert to fraction form
    100,878/156,102 = 156,102/x
  3. Step 3: Cross multiply
    100,878x = 156,102 × 156,102
  4. Step 4: Simplify right side
    100,878x = 24,367,834,404
  5. Step 5: Solve for x
    x = 24,367,834,404/100,878
  6. Step 6: Final answer
    x = 241,557.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.