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Finding the Third Proportional to 261,696 and 415,057

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Solution

The third proportional to 261,696 and 415,057 is: 658,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,696 : 415,057 = 415,057 : x
  2. Step 2: Convert to fraction form
    261,696/415,057 = 415,057/x
  3. Step 3: Cross multiply
    261,696x = 415,057 × 415,057
  4. Step 4: Simplify right side
    261,696x = 172,272,313,249
  5. Step 5: Solve for x
    x = 172,272,313,249/261,696
  6. Step 6: Final answer
    x = 658,291.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.