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Finding the Third Proportional to 313,397 and 477,438

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Solution

The third proportional to 313,397 and 477,438 is: 727,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,397 : 477,438 = 477,438 : x
  2. Step 2: Convert to fraction form
    313,397/477,438 = 477,438/x
  3. Step 3: Cross multiply
    313,397x = 477,438 × 477,438
  4. Step 4: Simplify right side
    313,397x = 227,947,043,844
  5. Step 5: Solve for x
    x = 227,947,043,844/313,397
  6. Step 6: Final answer
    x = 727,342.78

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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.