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Finding the Third Proportional to 156,635 and 252,206

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Solution

The third proportional to 156,635 and 252,206 is: 406,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,635 : 252,206 = 252,206 : x
  2. Step 2: Convert to fraction form
    156,635/252,206 = 252,206/x
  3. Step 3: Cross multiply
    156,635x = 252,206 × 252,206
  4. Step 4: Simplify right side
    156,635x = 63,607,866,436
  5. Step 5: Solve for x
    x = 63,607,866,436/156,635
  6. Step 6: Final answer
    x = 406,089.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.