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Finding the Third Proportional to 491,224 and 781,118

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Solution

The third proportional to 491,224 and 781,118 is: 1,242,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224 : 781,118 = 781,118 : x
  2. Step 2: Convert to fraction form
    491,224/781,118 = 781,118/x
  3. Step 3: Cross multiply
    491,224x = 781,118 × 781,118
  4. Step 4: Simplify right side
    491,224x = 610,145,329,924
  5. Step 5: Solve for x
    x = 610,145,329,924/491,224
  6. Step 6: Final answer
    x = 1,242,091.86

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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.