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Finding the Third Proportional to 381,549 and 753,495

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Solution

The third proportional to 381,549 and 753,495 is: 1,488,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,549 : 753,495 = 753,495 : x
  2. Step 2: Convert to fraction form
    381,549/753,495 = 753,495/x
  3. Step 3: Cross multiply
    381,549x = 753,495 × 753,495
  4. Step 4: Simplify right side
    381,549x = 567,754,715,025
  5. Step 5: Solve for x
    x = 567,754,715,025/381,549
  6. Step 6: Final answer
    x = 1,488,025.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.