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Finding the Third Proportional to 160,776 and 339,660

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Solution

The third proportional to 160,776 and 339,660 is: 717,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,776 : 339,660 = 339,660 : x
  2. Step 2: Convert to fraction form
    160,776/339,660 = 339,660/x
  3. Step 3: Cross multiply
    160,776x = 339,660 × 339,660
  4. Step 4: Simplify right side
    160,776x = 115,368,915,600
  5. Step 5: Solve for x
    x = 115,368,915,600/160,776
  6. Step 6: Final answer
    x = 717,575.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.