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Finding the Third Proportional to 313,304 and 477,312

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Solution

The third proportional to 313,304 and 477,312 is: 727,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304 : 477,312 = 477,312 : x
  2. Step 2: Convert to fraction form
    313,304/477,312 = 477,312/x
  3. Step 3: Cross multiply
    313,304x = 477,312 × 477,312
  4. Step 4: Simplify right side
    313,304x = 227,826,745,344
  5. Step 5: Solve for x
    x = 227,826,745,344/313,304
  6. Step 6: Final answer
    x = 727,174.71

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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.