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Finding the Third Proportional to 330,540 and 724,344

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Solution

The third proportional to 330,540 and 724,344 is: 1,587,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,540 : 724,344 = 724,344 : x
  2. Step 2: Convert to fraction form
    330,540/724,344 = 724,344/x
  3. Step 3: Cross multiply
    330,540x = 724,344 × 724,344
  4. Step 4: Simplify right side
    330,540x = 524,674,230,336
  5. Step 5: Solve for x
    x = 524,674,230,336/330,540
  6. Step 6: Final answer
    x = 1,587,324.47

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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.