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Finding the Third Proportional to 697.30 and 1,079.70

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Solution

The third proportional to 697.30 and 1,079.70 is: 1,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 1,079.70 = 1,079.70 : x
  2. Step 2: Convert to fraction form
    697.30/1,079.70 = 1,079.70/x
  3. Step 3: Cross multiply
    697.30x = 1,079.70 × 1,079.70
  4. Step 4: Simplify right side
    697.30x = 1,165,758.84
  5. Step 5: Solve for x
    x = 1,165,758.84/697.30
  6. Step 6: Final answer
    x = 1,671.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.