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Finding the Third Proportional to 330,367.38 and 721,406.75

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Solution

The third proportional to 330,367.38 and 721,406.75 is: 1,575,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,367.38 : 721,406.75 = 721,406.75 : x
  2. Step 2: Convert to fraction form
    330,367.38/721,406.75 = 721,406.75/x
  3. Step 3: Cross multiply
    330,367.38x = 721,406.75 × 721,406.75
  4. Step 4: Simplify right side
    330,367.38x = 520,427,698,945.56
  5. Step 5: Solve for x
    x = 520,427,698,945.56/330,367.38
  6. Step 6: Final answer
    x = 1,575,299.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.