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Finding the Third Proportional to 317,972.25 and 477,640.13

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Solution

The third proportional to 317,972.25 and 477,640.13 is: 717,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,972.25 : 477,640.13 = 477,640.13 : x
  2. Step 2: Convert to fraction form
    317,972.25/477,640.13 = 477,640.13/x
  3. Step 3: Cross multiply
    317,972.25x = 477,640.13 × 477,640.13
  4. Step 4: Simplify right side
    317,972.25x = 228,140,089,010.02
  5. Step 5: Solve for x
    x = 228,140,089,010.02/317,972.25
  6. Step 6: Final answer
    x = 717,484.27

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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.