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Finding the Third Proportional to 330,909 and 465,987

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Solution

The third proportional to 330,909 and 465,987 is: 656,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,909 : 465,987 = 465,987 : x
  2. Step 2: Convert to fraction form
    330,909/465,987 = 465,987/x
  3. Step 3: Cross multiply
    330,909x = 465,987 × 465,987
  4. Step 4: Simplify right side
    330,909x = 217,143,884,169
  5. Step 5: Solve for x
    x = 217,143,884,169/330,909
  6. Step 6: Final answer
    x = 656,204.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.