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Finding the Third Proportional to 393,648 and 862,952

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Solution

The third proportional to 393,648 and 862,952 is: 1,891,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,648 : 862,952 = 862,952 : x
  2. Step 2: Convert to fraction form
    393,648/862,952 = 862,952/x
  3. Step 3: Cross multiply
    393,648x = 862,952 × 862,952
  4. Step 4: Simplify right side
    393,648x = 744,686,154,304
  5. Step 5: Solve for x
    x = 744,686,154,304/393,648
  6. Step 6: Final answer
    x = 1,891,756.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.