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Finding the Third Proportional to 330,909.75 and 465,988.50

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Solution

The third proportional to 330,909.75 and 465,988.50 is: 656,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,909.75 : 465,988.50 = 465,988.50 : x
  2. Step 2: Convert to fraction form
    330,909.75/465,988.50 = 465,988.50/x
  3. Step 3: Cross multiply
    330,909.75x = 465,988.50 × 465,988.50
  4. Step 4: Simplify right side
    330,909.75x = 217,145,282,132.25
  5. Step 5: Solve for x
    x = 217,145,282,132.25/330,909.75
  6. Step 6: Final answer
    x = 656,206.96

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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.