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Finding the Third Proportional to 313,396 and 477,442

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Solution

The third proportional to 313,396 and 477,442 is: 727,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,396 : 477,442 = 477,442 : x
  2. Step 2: Convert to fraction form
    313,396/477,442 = 477,442/x
  3. Step 3: Cross multiply
    313,396x = 477,442 × 477,442
  4. Step 4: Simplify right side
    313,396x = 227,950,863,364
  5. Step 5: Solve for x
    x = 227,950,863,364/313,396
  6. Step 6: Final answer
    x = 727,357.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.