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Finding the Third Proportional to 639,874.50 and 966,615

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Solution

The third proportional to 639,874.50 and 966,615 is: 1,460,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,874.50 : 966,615 = 966,615 : x
  2. Step 2: Convert to fraction form
    639,874.50/966,615 = 966,615/x
  3. Step 3: Cross multiply
    639,874.50x = 966,615 × 966,615
  4. Step 4: Simplify right side
    639,874.50x = 934,344,558,225
  5. Step 5: Solve for x
    x = 934,344,558,225/639,874.50
  6. Step 6: Final answer
    x = 1,460,199.71

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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.