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Finding the Third Proportional to 156,781 and 338,716

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Solution

The third proportional to 156,781 and 338,716 is: 731,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,781 : 338,716 = 338,716 : x
  2. Step 2: Convert to fraction form
    156,781/338,716 = 338,716/x
  3. Step 3: Cross multiply
    156,781x = 338,716 × 338,716
  4. Step 4: Simplify right side
    156,781x = 114,728,528,656
  5. Step 5: Solve for x
    x = 114,728,528,656/156,781
  6. Step 6: Final answer
    x = 731,775.72

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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.