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Finding the Third Proportional to 269,082 and 416,403

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Solution

The third proportional to 269,082 and 416,403 is: 644,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082 : 416,403 = 416,403 : x
  2. Step 2: Convert to fraction form
    269,082/416,403 = 416,403/x
  3. Step 3: Cross multiply
    269,082x = 416,403 × 416,403
  4. Step 4: Simplify right side
    269,082x = 173,391,458,409
  5. Step 5: Solve for x
    x = 173,391,458,409/269,082
  6. Step 6: Final answer
    x = 644,381.48

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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.