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Finding the Third Proportional to 354,430.69 and 477,517.78

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Solution

The third proportional to 354,430.69 and 477,517.78 is: 643,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,430.69 : 477,517.78 = 477,517.78 : x
  2. Step 2: Convert to fraction form
    354,430.69/477,517.78 = 477,517.78/x
  3. Step 3: Cross multiply
    354,430.69x = 477,517.78 × 477,517.78
  4. Step 4: Simplify right side
    354,430.69x = 228,023,231,409.92
  5. Step 5: Solve for x
    x = 228,023,231,409.92/354,430.69
  6. Step 6: Final answer
    x = 643,350.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.