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Finding the Third Proportional to 640,878 and 966,225

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Solution

The third proportional to 640,878 and 966,225 is: 1,456,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,878 : 966,225 = 966,225 : x
  2. Step 2: Convert to fraction form
    640,878/966,225 = 966,225/x
  3. Step 3: Cross multiply
    640,878x = 966,225 × 966,225
  4. Step 4: Simplify right side
    640,878x = 933,590,750,625
  5. Step 5: Solve for x
    x = 933,590,750,625/640,878
  6. Step 6: Final answer
    x = 1,456,737.09

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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.