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Finding the Third Proportional to 321,466.50 and 485,115.75

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Solution

The third proportional to 321,466.50 and 485,115.75 is: 732,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,466.50 : 485,115.75 = 485,115.75 : x
  2. Step 2: Convert to fraction form
    321,466.50/485,115.75 = 485,115.75/x
  3. Step 3: Cross multiply
    321,466.50x = 485,115.75 × 485,115.75
  4. Step 4: Simplify right side
    321,466.50x = 235,337,290,898.06
  5. Step 5: Solve for x
    x = 235,337,290,898.06/321,466.50
  6. Step 6: Final answer
    x = 732,074.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.