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Finding the Third Proportional to 398,469 and 859,928

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Solution

The third proportional to 398,469 and 859,928 is: 1,855,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469 : 859,928 = 859,928 : x
  2. Step 2: Convert to fraction form
    398,469/859,928 = 859,928/x
  3. Step 3: Cross multiply
    398,469x = 859,928 × 859,928
  4. Step 4: Simplify right side
    398,469x = 739,476,165,184
  5. Step 5: Solve for x
    x = 739,476,165,184/398,469
  6. Step 6: Final answer
    x = 1,855,793.46

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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.