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Finding the Third Proportional to 635.81 and 728.06

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Solution

The third proportional to 635.81 and 728.06 is: 833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.81 : 728.06 = 728.06 : x
  2. Step 2: Convert to fraction form
    635.81/728.06 = 728.06/x
  3. Step 3: Cross multiply
    635.81x = 728.06 × 728.06
  4. Step 4: Simplify right side
    635.81x = 530,075.00
  5. Step 5: Solve for x
    x = 530,075.00/635.81
  6. Step 6: Final answer
    x = 833.70

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.