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Finding the Third Proportional to 261,764 and 415,165

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Solution

The third proportional to 261,764 and 415,165 is: 658,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,764 : 415,165 = 415,165 : x
  2. Step 2: Convert to fraction form
    261,764/415,165 = 415,165/x
  3. Step 3: Cross multiply
    261,764x = 415,165 × 415,165
  4. Step 4: Simplify right side
    261,764x = 172,361,977,225
  5. Step 5: Solve for x
    x = 172,361,977,225/261,764
  6. Step 6: Final answer
    x = 658,463.26

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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.