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Finding the Third Proportional to 689,933 and 966,802

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Solution

The third proportional to 689,933 and 966,802 is: 1,354,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,933 : 966,802 = 966,802 : x
  2. Step 2: Convert to fraction form
    689,933/966,802 = 966,802/x
  3. Step 3: Cross multiply
    689,933x = 966,802 × 966,802
  4. Step 4: Simplify right side
    689,933x = 934,706,107,204
  5. Step 5: Solve for x
    x = 934,706,107,204/689,933
  6. Step 6: Final answer
    x = 1,354,778.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.