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Finding the Third Proportional to 156,782 and 338,718

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Solution

The third proportional to 156,782 and 338,718 is: 731,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 338,718 = 338,718 : x
  2. Step 2: Convert to fraction form
    156,782/338,718 = 338,718/x
  3. Step 3: Cross multiply
    156,782x = 338,718 × 338,718
  4. Step 4: Simplify right side
    156,782x = 114,729,883,524
  5. Step 5: Solve for x
    x = 114,729,883,524/156,782
  6. Step 6: Final answer
    x = 731,779.69

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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.