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Finding the Third Proportional to 281,320 and 663,674

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Solution

The third proportional to 281,320 and 663,674 is: 1,565,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,320 : 663,674 = 663,674 : x
  2. Step 2: Convert to fraction form
    281,320/663,674 = 663,674/x
  3. Step 3: Cross multiply
    281,320x = 663,674 × 663,674
  4. Step 4: Simplify right side
    281,320x = 440,463,178,276
  5. Step 5: Solve for x
    x = 440,463,178,276/281,320
  6. Step 6: Final answer
    x = 1,565,701.61

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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.