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Finding the Third Proportional to 640,872 and 966,220

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Solution

The third proportional to 640,872 and 966,220 is: 1,456,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,872 : 966,220 = 966,220 : x
  2. Step 2: Convert to fraction form
    640,872/966,220 = 966,220/x
  3. Step 3: Cross multiply
    640,872x = 966,220 × 966,220
  4. Step 4: Simplify right side
    640,872x = 933,581,088,400
  5. Step 5: Solve for x
    x = 933,581,088,400/640,872
  6. Step 6: Final answer
    x = 1,456,735.65

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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.