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Finding the Third Proportional to 691.98 and 1,364.74

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Solution

The third proportional to 691.98 and 1,364.74 is: 2,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.98 : 1,364.74 = 1,364.74 : x
  2. Step 2: Convert to fraction form
    691.98/1,364.74 = 1,364.74/x
  3. Step 3: Cross multiply
    691.98x = 1,364.74 × 1,364.74
  4. Step 4: Simplify right side
    691.98x = 1,862,513.24
  5. Step 5: Solve for x
    x = 1,862,513.24/691.98
  6. Step 6: Final answer
    x = 2,691.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.