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Finding the Third Proportional to 356,481 and 518,670

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Solution

The third proportional to 356,481 and 518,670 is: 754,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,481 : 518,670 = 518,670 : x
  2. Step 2: Convert to fraction form
    356,481/518,670 = 518,670/x
  3. Step 3: Cross multiply
    356,481x = 518,670 × 518,670
  4. Step 4: Simplify right side
    356,481x = 269,018,568,900
  5. Step 5: Solve for x
    x = 269,018,568,900/356,481
  6. Step 6: Final answer
    x = 754,650.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.