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Finding the Third Proportional to 261,877 and 418,412

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Solution

The third proportional to 261,877 and 418,412 is: 668,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,877 : 418,412 = 418,412 : x
  2. Step 2: Convert to fraction form
    261,877/418,412 = 418,412/x
  3. Step 3: Cross multiply
    261,877x = 418,412 × 418,412
  4. Step 4: Simplify right side
    261,877x = 175,068,601,744
  5. Step 5: Solve for x
    x = 175,068,601,744/261,877
  6. Step 6: Final answer
    x = 668,514.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.