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Finding the Third Proportional to 691.64 and 1,042.70

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Solution

The third proportional to 691.64 and 1,042.70 is: 1,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 1,042.70 = 1,042.70 : x
  2. Step 2: Convert to fraction form
    691.64/1,042.70 = 1,042.70/x
  3. Step 3: Cross multiply
    691.64x = 1,042.70 × 1,042.70
  4. Step 4: Simplify right side
    691.64x = 1,087,225.46
  5. Step 5: Solve for x
    x = 1,087,225.46/691.64
  6. Step 6: Final answer
    x = 1,571.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.