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Finding the Third Proportional to 261,768 and 415,171

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Solution

The third proportional to 261,768 and 415,171 is: 658,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,768 : 415,171 = 415,171 : x
  2. Step 2: Convert to fraction form
    261,768/415,171 = 415,171/x
  3. Step 3: Cross multiply
    261,768x = 415,171 × 415,171
  4. Step 4: Simplify right side
    261,768x = 172,366,959,241
  5. Step 5: Solve for x
    x = 172,366,959,241/261,768
  6. Step 6: Final answer
    x = 658,472.23

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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.