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Finding the Third Proportional to 10.51 and 22.77

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Solution

The third proportional to 10.51 and 22.77 is: 49.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.51 : 22.77 = 22.77 : x
  2. Step 2: Convert to fraction form
    10.51/22.77 = 22.77/x
  3. Step 3: Cross multiply
    10.51x = 22.77 × 22.77
  4. Step 4: Simplify right side
    10.51x = 518.34
  5. Step 5: Solve for x
    x = 518.34/10.51
  6. Step 6: Final answer
    x = 49.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.