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Finding the Third Proportional to 261,743 and 415,133

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Solution

The third proportional to 261,743 and 415,133 is: 658,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,743 : 415,133 = 415,133 : x
  2. Step 2: Convert to fraction form
    261,743/415,133 = 415,133/x
  3. Step 3: Cross multiply
    261,743x = 415,133 × 415,133
  4. Step 4: Simplify right side
    261,743x = 172,335,407,689
  5. Step 5: Solve for x
    x = 172,335,407,689/261,743
  6. Step 6: Final answer
    x = 658,414.58

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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.