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Finding the Third Proportional to 323,624.50 and 485,437

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Solution

The third proportional to 323,624.50 and 485,437 is: 728,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,624.50 : 485,437 = 485,437 : x
  2. Step 2: Convert to fraction form
    323,624.50/485,437 = 485,437/x
  3. Step 3: Cross multiply
    323,624.50x = 485,437 × 485,437
  4. Step 4: Simplify right side
    323,624.50x = 235,649,080,969
  5. Step 5: Solve for x
    x = 235,649,080,969/323,624.50
  6. Step 6: Final answer
    x = 728,155.88

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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.