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Finding the Third Proportional to 697.78 and 1,516.64

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Solution

The third proportional to 697.78 and 1,516.64 is: 3,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 1,516.64 = 1,516.64 : x
  2. Step 2: Convert to fraction form
    697.78/1,516.64 = 1,516.64/x
  3. Step 3: Cross multiply
    697.78x = 1,516.64 × 1,516.64
  4. Step 4: Simplify right side
    697.78x = 2,300,198.79
  5. Step 5: Solve for x
    x = 2,300,198.79/697.78
  6. Step 6: Final answer
    x = 3,296.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.