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Finding the Third Proportional to 384,305 and 547,449

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Solution

The third proportional to 384,305 and 547,449 is: 779,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,305 : 547,449 = 547,449 : x
  2. Step 2: Convert to fraction form
    384,305/547,449 = 547,449/x
  3. Step 3: Cross multiply
    384,305x = 547,449 × 547,449
  4. Step 4: Simplify right side
    384,305x = 299,700,407,601
  5. Step 5: Solve for x
    x = 299,700,407,601/384,305
  6. Step 6: Final answer
    x = 779,850.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.