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Finding the Third Proportional to 398,202 and 859,743

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Solution

The third proportional to 398,202 and 859,743 is: 1,856,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,202 : 859,743 = 859,743 : x
  2. Step 2: Convert to fraction form
    398,202/859,743 = 859,743/x
  3. Step 3: Cross multiply
    398,202x = 859,743 × 859,743
  4. Step 4: Simplify right side
    398,202x = 739,158,026,049
  5. Step 5: Solve for x
    x = 739,158,026,049/398,202
  6. Step 6: Final answer
    x = 1,856,238.86

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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.