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Finding the Third Proportional to 398,295 and 863,048

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Solution

The third proportional to 398,295 and 863,048 is: 1,870,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,295 : 863,048 = 863,048 : x
  2. Step 2: Convert to fraction form
    398,295/863,048 = 863,048/x
  3. Step 3: Cross multiply
    398,295x = 863,048 × 863,048
  4. Step 4: Simplify right side
    398,295x = 744,851,850,304
  5. Step 5: Solve for x
    x = 744,851,850,304/398,295
  6. Step 6: Final answer
    x = 1,870,100.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.