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Finding the Third Proportional to 330,576.75 and 491,005.13

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Solution

The third proportional to 330,576.75 and 491,005.13 is: 729,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,576.75 : 491,005.13 = 491,005.13 : x
  2. Step 2: Convert to fraction form
    330,576.75/491,005.13 = 491,005.13/x
  3. Step 3: Cross multiply
    330,576.75x = 491,005.13 × 491,005.13
  4. Step 4: Simplify right side
    330,576.75x = 241,086,032,776.27
  5. Step 5: Solve for x
    x = 241,086,032,776.27/330,576.75
  6. Step 6: Final answer
    x = 729,289.14

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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.