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Finding the Third Proportional to 269,418 and 418,347

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Solution

The third proportional to 269,418 and 418,347 is: 649,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,418 : 418,347 = 418,347 : x
  2. Step 2: Convert to fraction form
    269,418/418,347 = 418,347/x
  3. Step 3: Cross multiply
    269,418x = 418,347 × 418,347
  4. Step 4: Simplify right side
    269,418x = 175,014,212,409
  5. Step 5: Solve for x
    x = 175,014,212,409/269,418
  6. Step 6: Final answer
    x = 649,601.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.