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Finding the Third Proportional to 691.75 and 972.38

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Solution

The third proportional to 691.75 and 972.38 is: 1,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.75 : 972.38 = 972.38 : x
  2. Step 2: Convert to fraction form
    691.75/972.38 = 972.38/x
  3. Step 3: Cross multiply
    691.75x = 972.38 × 972.38
  4. Step 4: Simplify right side
    691.75x = 945,513.14
  5. Step 5: Solve for x
    x = 945,513.14/691.75
  6. Step 6: Final answer
    x = 1,366.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.