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Finding the Third Proportional to 640,157 and 991,151

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Solution

The third proportional to 640,157 and 991,151 is: 1,534,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,157 : 991,151 = 991,151 : x
  2. Step 2: Convert to fraction form
    640,157/991,151 = 991,151/x
  3. Step 3: Cross multiply
    640,157x = 991,151 × 991,151
  4. Step 4: Simplify right side
    640,157x = 982,380,304,801
  5. Step 5: Solve for x
    x = 982,380,304,801/640,157
  6. Step 6: Final answer
    x = 1,534,592.77

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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.