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Finding the Third Proportional to 639,873 and 966,612

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Solution

The third proportional to 639,873 and 966,612 is: 1,460,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,873 : 966,612 = 966,612 : x
  2. Step 2: Convert to fraction form
    639,873/966,612 = 966,612/x
  3. Step 3: Cross multiply
    639,873x = 966,612 × 966,612
  4. Step 4: Simplify right side
    639,873x = 934,338,758,544
  5. Step 5: Solve for x
    x = 934,338,758,544/639,873
  6. Step 6: Final answer
    x = 1,460,194.07

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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.