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Finding the Third Proportional to 291,835.50 and 394,445.25

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Solution

The third proportional to 291,835.50 and 394,445.25 is: 533,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,835.50 : 394,445.25 = 394,445.25 : x
  2. Step 2: Convert to fraction form
    291,835.50/394,445.25 = 394,445.25/x
  3. Step 3: Cross multiply
    291,835.50x = 394,445.25 × 394,445.25
  4. Step 4: Simplify right side
    291,835.50x = 155,587,055,247.56
  5. Step 5: Solve for x
    x = 155,587,055,247.56/291,835.50
  6. Step 6: Final answer
    x = 533,132.72

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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.