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Finding the Third Proportional to 100,206 and 156,042

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Solution

The third proportional to 100,206 and 156,042 is: 242,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206 : 156,042 = 156,042 : x
  2. Step 2: Convert to fraction form
    100,206/156,042 = 156,042/x
  3. Step 3: Cross multiply
    100,206x = 156,042 × 156,042
  4. Step 4: Simplify right side
    100,206x = 24,349,105,764
  5. Step 5: Solve for x
    x = 24,349,105,764/100,206
  6. Step 6: Final answer
    x = 242,990.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.