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Finding the Third Proportional to 481,382 and 720,339

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Solution

The third proportional to 481,382 and 720,339 is: 1,077,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,382 : 720,339 = 720,339 : x
  2. Step 2: Convert to fraction form
    481,382/720,339 = 720,339/x
  3. Step 3: Cross multiply
    481,382x = 720,339 × 720,339
  4. Step 4: Simplify right side
    481,382x = 518,888,274,921
  5. Step 5: Solve for x
    x = 518,888,274,921/481,382
  6. Step 6: Final answer
    x = 1,077,913.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.