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Finding the Third Proportional to 318,404.25 and 477,558.75

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Solution

The third proportional to 318,404.25 and 477,558.75 is: 716,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,404.25 : 477,558.75 = 477,558.75 : x
  2. Step 2: Convert to fraction form
    318,404.25/477,558.75 = 477,558.75/x
  3. Step 3: Cross multiply
    318,404.25x = 477,558.75 × 477,558.75
  4. Step 4: Simplify right side
    318,404.25x = 228,062,359,701.56
  5. Step 5: Solve for x
    x = 228,062,359,701.56/318,404.25
  6. Step 6: Final answer
    x = 716,266.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.