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Finding the Third Proportional to 640,156 and 991,149

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Solution

The third proportional to 640,156 and 991,149 is: 1,534,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,156 : 991,149 = 991,149 : x
  2. Step 2: Convert to fraction form
    640,156/991,149 = 991,149/x
  3. Step 3: Cross multiply
    640,156x = 991,149 × 991,149
  4. Step 4: Simplify right side
    640,156x = 982,376,340,201
  5. Step 5: Solve for x
    x = 982,376,340,201/640,156
  6. Step 6: Final answer
    x = 1,534,588.98

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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.