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Finding the Third Proportional to 669,282 and 981,603

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Solution

The third proportional to 669,282 and 981,603 is: 1,439,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,282 : 981,603 = 981,603 : x
  2. Step 2: Convert to fraction form
    669,282/981,603 = 981,603/x
  3. Step 3: Cross multiply
    669,282x = 981,603 × 981,603
  4. Step 4: Simplify right side
    669,282x = 963,544,449,609
  5. Step 5: Solve for x
    x = 963,544,449,609/669,282
  6. Step 6: Final answer
    x = 1,439,668.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.