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Finding the Third Proportional to 5.03 and 10.56

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Solution

The third proportional to 5.03 and 10.56 is: 22.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.03 : 10.56 = 10.56 : x
  2. Step 2: Convert to fraction form
    5.03/10.56 = 10.56/x
  3. Step 3: Cross multiply
    5.03x = 10.56 × 10.56
  4. Step 4: Simplify right side
    5.03x = 111.57
  5. Step 5: Solve for x
    x = 111.57/5.03
  6. Step 6: Final answer
    x = 22.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.