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Finding the Third Proportional to 691 and 758

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Solution

The third proportional to 691 and 758 is: 831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691 : 758 = 758 : x
  2. Step 2: Convert to fraction form
    691/758 = 758/x
  3. Step 3: Cross multiply
    691x = 758 × 758
  4. Step 4: Simplify right side
    691x = 574,564
  5. Step 5: Solve for x
    x = 574,564/691
  6. Step 6: Final answer
    x = 831.50

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