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Finding the Third Proportional to 160,782 and 342,939

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Solution

The third proportional to 160,782 and 342,939 is: 731,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,782 : 342,939 = 342,939 : x
  2. Step 2: Convert to fraction form
    160,782/342,939 = 342,939/x
  3. Step 3: Cross multiply
    160,782x = 342,939 × 342,939
  4. Step 4: Simplify right side
    160,782x = 117,607,157,721
  5. Step 5: Solve for x
    x = 117,607,157,721/160,782
  6. Step 6: Final answer
    x = 731,469.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.