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Finding the Third Proportional to 330,138 and 723,378

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Solution

The third proportional to 330,138 and 723,378 is: 1,585,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,138 : 723,378 = 723,378 : x
  2. Step 2: Convert to fraction form
    330,138/723,378 = 723,378/x
  3. Step 3: Cross multiply
    330,138x = 723,378 × 723,378
  4. Step 4: Simplify right side
    330,138x = 523,275,730,884
  5. Step 5: Solve for x
    x = 523,275,730,884/330,138
  6. Step 6: Final answer
    x = 1,585,021.21

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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.