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Finding the Third Proportional to 281,068 and 663,474

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Solution

The third proportional to 281,068 and 663,474 is: 1,566,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,068 : 663,474 = 663,474 : x
  2. Step 2: Convert to fraction form
    281,068/663,474 = 663,474/x
  3. Step 3: Cross multiply
    281,068x = 663,474 × 663,474
  4. Step 4: Simplify right side
    281,068x = 440,197,748,676
  5. Step 5: Solve for x
    x = 440,197,748,676/281,068
  6. Step 6: Final answer
    x = 1,566,161.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.