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Finding the Third Proportional to 261,043 and 415,375

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Solution

The third proportional to 261,043 and 415,375 is: 660,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,043 : 415,375 = 415,375 : x
  2. Step 2: Convert to fraction form
    261,043/415,375 = 415,375/x
  3. Step 3: Cross multiply
    261,043x = 415,375 × 415,375
  4. Step 4: Simplify right side
    261,043x = 172,536,390,625
  5. Step 5: Solve for x
    x = 172,536,390,625/261,043
  6. Step 6: Final answer
    x = 660,950.08

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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.