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Finding the Third Proportional to 100,942 and 156,739

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Solution

The third proportional to 100,942 and 156,739 is: 243,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,942 : 156,739 = 156,739 : x
  2. Step 2: Convert to fraction form
    100,942/156,739 = 156,739/x
  3. Step 3: Cross multiply
    100,942x = 156,739 × 156,739
  4. Step 4: Simplify right side
    100,942x = 24,567,114,121
  5. Step 5: Solve for x
    x = 24,567,114,121/100,942
  6. Step 6: Final answer
    x = 243,378.52

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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.