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Finding the Third Proportional to 281,768 and 618,832

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Solution

The third proportional to 281,768 and 618,832 is: 1,359,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,768 : 618,832 = 618,832 : x
  2. Step 2: Convert to fraction form
    281,768/618,832 = 618,832/x
  3. Step 3: Cross multiply
    281,768x = 618,832 × 618,832
  4. Step 4: Simplify right side
    281,768x = 382,953,044,224
  5. Step 5: Solve for x
    x = 382,953,044,224/281,768
  6. Step 6: Final answer
    x = 1,359,107.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.