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Finding the Third Proportional to 697.68 and 1,497.87

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Solution

The third proportional to 697.68 and 1,497.87 is: 3,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 1,497.87 = 1,497.87 : x
  2. Step 2: Convert to fraction form
    697.68/1,497.87 = 1,497.87/x
  3. Step 3: Cross multiply
    697.68x = 1,497.87 × 1,497.87
  4. Step 4: Simplify right side
    697.68x = 2,243,606.11
  5. Step 5: Solve for x
    x = 2,243,606.11/697.68
  6. Step 6: Final answer
    x = 3,215.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.