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Finding the Third Proportional to 378,962 and 547,491

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Solution

The third proportional to 378,962 and 547,491 is: 790,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,962 : 547,491 = 547,491 : x
  2. Step 2: Convert to fraction form
    378,962/547,491 = 547,491/x
  3. Step 3: Cross multiply
    378,962x = 547,491 × 547,491
  4. Step 4: Simplify right side
    378,962x = 299,746,395,081
  5. Step 5: Solve for x
    x = 299,746,395,081/378,962
  6. Step 6: Final answer
    x = 790,966.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.