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Finding the Third Proportional to 317,952 and 477,609.75

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Solution

The third proportional to 317,952 and 477,609.75 is: 717,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,952 : 477,609.75 = 477,609.75 : x
  2. Step 2: Convert to fraction form
    317,952/477,609.75 = 477,609.75/x
  3. Step 3: Cross multiply
    317,952x = 477,609.75 × 477,609.75
  4. Step 4: Simplify right side
    317,952x = 228,111,073,295.06
  5. Step 5: Solve for x
    x = 228,111,073,295.06/317,952
  6. Step 6: Final answer
    x = 717,438.71

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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.