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Finding the Third Proportional to 133.56 and 317.03

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Solution

The third proportional to 133.56 and 317.03 is: 752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.56 : 317.03 = 317.03 : x
  2. Step 2: Convert to fraction form
    133.56/317.03 = 317.03/x
  3. Step 3: Cross multiply
    133.56x = 317.03 × 317.03
  4. Step 4: Simplify right side
    133.56x = 100,508.81
  5. Step 5: Solve for x
    x = 100,508.81/133.56
  6. Step 6: Final answer
    x = 752.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.