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Finding the Third Proportional to 697.31 and 1,663.13

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Solution

The third proportional to 697.31 and 1,663.13 is: 3,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.31 : 1,663.13 = 1,663.13 : x
  2. Step 2: Convert to fraction form
    697.31/1,663.13 = 1,663.13/x
  3. Step 3: Cross multiply
    697.31x = 1,663.13 × 1,663.13
  4. Step 4: Simplify right side
    697.31x = 2,765,984.77
  5. Step 5: Solve for x
    x = 2,765,984.77/697.31
  6. Step 6: Final answer
    x = 3,966.64

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.