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Finding the Third Proportional to 156,538 and 338,600

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Solution

The third proportional to 156,538 and 338,600 is: 732,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,538 : 338,600 = 338,600 : x
  2. Step 2: Convert to fraction form
    156,538/338,600 = 338,600/x
  3. Step 3: Cross multiply
    156,538x = 338,600 × 338,600
  4. Step 4: Simplify right side
    156,538x = 114,649,960,000
  5. Step 5: Solve for x
    x = 114,649,960,000/156,538
  6. Step 6: Final answer
    x = 732,409.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.