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Finding the Third Proportional to 491,267 and 781,187

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Solution

The third proportional to 491,267 and 781,187 is: 1,242,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,267 : 781,187 = 781,187 : x
  2. Step 2: Convert to fraction form
    491,267/781,187 = 781,187/x
  3. Step 3: Cross multiply
    491,267x = 781,187 × 781,187
  4. Step 4: Simplify right side
    491,267x = 610,253,128,969
  5. Step 5: Solve for x
    x = 610,253,128,969/491,267
  6. Step 6: Final answer
    x = 1,242,202.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.