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Finding the Third Proportional to 261,671 and 415,025

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Solution

The third proportional to 261,671 and 415,025 is: 658,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,671 : 415,025 = 415,025 : x
  2. Step 2: Convert to fraction form
    261,671/415,025 = 415,025/x
  3. Step 3: Cross multiply
    261,671x = 415,025 × 415,025
  4. Step 4: Simplify right side
    261,671x = 172,245,750,625
  5. Step 5: Solve for x
    x = 172,245,750,625/261,671
  6. Step 6: Final answer
    x = 658,253.11

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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.