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Finding the Third Proportional to 313,402.50 and 477,454.50

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Solution

The third proportional to 313,402.50 and 477,454.50 is: 727,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,402.50 : 477,454.50 = 477,454.50 : x
  2. Step 2: Convert to fraction form
    313,402.50/477,454.50 = 477,454.50/x
  3. Step 3: Cross multiply
    313,402.50x = 477,454.50 × 477,454.50
  4. Step 4: Simplify right side
    313,402.50x = 227,962,799,570.25
  5. Step 5: Solve for x
    x = 227,962,799,570.25/313,402.50
  6. Step 6: Final answer
    x = 727,380.28

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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.