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Finding the Third Proportional to 639,871 and 966,609

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Solution

The third proportional to 639,871 and 966,609 is: 1,460,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,871 : 966,609 = 966,609 : x
  2. Step 2: Convert to fraction form
    639,871/966,609 = 966,609/x
  3. Step 3: Cross multiply
    639,871x = 966,609 × 966,609
  4. Step 4: Simplify right side
    639,871x = 934,332,958,881
  5. Step 5: Solve for x
    x = 934,332,958,881/639,871
  6. Step 6: Final answer
    x = 1,460,189.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.