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Finding the Third Proportional to 491,788 and 781,990

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Solution

The third proportional to 491,788 and 781,990 is: 1,243,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,788 : 781,990 = 781,990 : x
  2. Step 2: Convert to fraction form
    491,788/781,990 = 781,990/x
  3. Step 3: Cross multiply
    491,788x = 781,990 × 781,990
  4. Step 4: Simplify right side
    491,788x = 611,508,360,100
  5. Step 5: Solve for x
    x = 611,508,360,100/491,788
  6. Step 6: Final answer
    x = 1,243,438.96

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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.