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Finding the Third Proportional to 399,024 and 861,354

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Solution

The third proportional to 399,024 and 861,354 is: 1,859,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,024 : 861,354 = 861,354 : x
  2. Step 2: Convert to fraction form
    399,024/861,354 = 861,354/x
  3. Step 3: Cross multiply
    399,024x = 861,354 × 861,354
  4. Step 4: Simplify right side
    399,024x = 741,930,713,316
  5. Step 5: Solve for x
    x = 741,930,713,316/399,024
  6. Step 6: Final answer
    x = 1,859,363.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.