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Finding the Third Proportional to 313,390 and 477,433

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Solution

The third proportional to 313,390 and 477,433 is: 727,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,390 : 477,433 = 477,433 : x
  2. Step 2: Convert to fraction form
    313,390/477,433 = 477,433/x
  3. Step 3: Cross multiply
    313,390x = 477,433 × 477,433
  4. Step 4: Simplify right side
    313,390x = 227,942,269,489
  5. Step 5: Solve for x
    x = 227,942,269,489/313,390
  6. Step 6: Final answer
    x = 727,343.79

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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.