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Finding the Third Proportional to 399,624 and 855,930

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Solution

The third proportional to 399,624 and 855,930 is: 1,833,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,624 : 855,930 = 855,930 : x
  2. Step 2: Convert to fraction form
    399,624/855,930 = 855,930/x
  3. Step 3: Cross multiply
    399,624x = 855,930 × 855,930
  4. Step 4: Simplify right side
    399,624x = 732,616,164,900
  5. Step 5: Solve for x
    x = 732,616,164,900/399,624
  6. Step 6: Final answer
    x = 1,833,263.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.