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Finding the Third Proportional to 330,855.75 and 724,725

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Solution

The third proportional to 330,855.75 and 724,725 is: 1,587,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,855.75 : 724,725 = 724,725 : x
  2. Step 2: Convert to fraction form
    330,855.75/724,725 = 724,725/x
  3. Step 3: Cross multiply
    330,855.75x = 724,725 × 724,725
  4. Step 4: Simplify right side
    330,855.75x = 525,226,325,625
  5. Step 5: Solve for x
    x = 525,226,325,625/330,855.75
  6. Step 6: Final answer
    x = 1,587,478.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.