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Finding the Third Proportional to 330,601.50 and 491,041.69

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Solution

The third proportional to 330,601.50 and 491,041.69 is: 729,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,601.50 : 491,041.69 = 491,041.69 : x
  2. Step 2: Convert to fraction form
    330,601.50/491,041.69 = 491,041.69/x
  3. Step 3: Cross multiply
    330,601.50x = 491,041.69 × 491,041.69
  4. Step 4: Simplify right side
    330,601.50x = 241,121,938,862.85
  5. Step 5: Solve for x
    x = 241,121,938,862.85/330,601.50
  6. Step 6: Final answer
    x = 729,343.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.