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Finding the Third Proportional to 640,010 and 991,227

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Solution

The third proportional to 640,010 and 991,227 is: 1,535,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,010 : 991,227 = 991,227 : x
  2. Step 2: Convert to fraction form
    640,010/991,227 = 991,227/x
  3. Step 3: Cross multiply
    640,010x = 991,227 × 991,227
  4. Step 4: Simplify right side
    640,010x = 982,530,965,529
  5. Step 5: Solve for x
    x = 982,530,965,529/640,010
  6. Step 6: Final answer
    x = 1,535,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.