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Finding the Third Proportional to 601.13 and 697.31

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Solution

The third proportional to 601.13 and 697.31 is: 808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.13 : 697.31 = 697.31 : x
  2. Step 2: Convert to fraction form
    601.13/697.31 = 697.31/x
  3. Step 3: Cross multiply
    601.13x = 697.31 × 697.31
  4. Step 4: Simplify right side
    601.13x = 486,244.72
  5. Step 5: Solve for x
    x = 486,244.72/601.13
  6. Step 6: Final answer
    x = 808.89

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.