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Finding the Third Proportional to 399,049 and 861,399

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Solution

The third proportional to 399,049 and 861,399 is: 1,859,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,049 : 861,399 = 861,399 : x
  2. Step 2: Convert to fraction form
    399,049/861,399 = 861,399/x
  3. Step 3: Cross multiply
    399,049x = 861,399 × 861,399
  4. Step 4: Simplify right side
    399,049x = 742,008,237,201
  5. Step 5: Solve for x
    x = 742,008,237,201/399,049
  6. Step 6: Final answer
    x = 1,859,441.41

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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.