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Finding the Third Proportional to 261,731 and 394,785

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Solution

The third proportional to 261,731 and 394,785 is: 595,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,731 : 394,785 = 394,785 : x
  2. Step 2: Convert to fraction form
    261,731/394,785 = 394,785/x
  3. Step 3: Cross multiply
    261,731x = 394,785 × 394,785
  4. Step 4: Simplify right side
    261,731x = 155,855,196,225
  5. Step 5: Solve for x
    x = 155,855,196,225/261,731
  6. Step 6: Final answer
    x = 595,478.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.