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Finding the Third Proportional to 262,481 and 405,314

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Solution

The third proportional to 262,481 and 405,314 is: 625,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,481 : 405,314 = 405,314 : x
  2. Step 2: Convert to fraction form
    262,481/405,314 = 405,314/x
  3. Step 3: Cross multiply
    262,481x = 405,314 × 405,314
  4. Step 4: Simplify right side
    262,481x = 164,279,438,596
  5. Step 5: Solve for x
    x = 164,279,438,596/262,481
  6. Step 6: Final answer
    x = 625,871.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.