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Finding the Third Proportional to 491.88 and 789.88

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Solution

The third proportional to 491.88 and 789.88 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.88 : 789.88 = 789.88 : x
  2. Step 2: Convert to fraction form
    491.88/789.88 = 789.88/x
  3. Step 3: Cross multiply
    491.88x = 789.88 × 789.88
  4. Step 4: Simplify right side
    491.88x = 623,902.52
  5. Step 5: Solve for x
    x = 623,902.52/491.88
  6. Step 6: Final answer
    x = 1,268.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.