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Finding the Third Proportional to 491,790 and 781,992

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Solution

The third proportional to 491,790 and 781,992 is: 1,243,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,790 : 781,992 = 781,992 : x
  2. Step 2: Convert to fraction form
    491,790/781,992 = 781,992/x
  3. Step 3: Cross multiply
    491,790x = 781,992 × 781,992
  4. Step 4: Simplify right side
    491,790x = 611,511,488,064
  5. Step 5: Solve for x
    x = 611,511,488,064/491,790
  6. Step 6: Final answer
    x = 1,243,440.27

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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.