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Finding the Third Proportional to 491.75 and 699.13

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Solution

The third proportional to 491.75 and 699.13 is: 993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.75 : 699.13 = 699.13 : x
  2. Step 2: Convert to fraction form
    491.75/699.13 = 699.13/x
  3. Step 3: Cross multiply
    491.75x = 699.13 × 699.13
  4. Step 4: Simplify right side
    491.75x = 488,775.77
  5. Step 5: Solve for x
    x = 488,775.77/491.75
  6. Step 6: Final answer
    x = 993.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.