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Finding the Third Proportional to 26.43 and 57.06

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Solution

The third proportional to 26.43 and 57.06 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.43 : 57.06 = 57.06 : x
  2. Step 2: Convert to fraction form
    26.43/57.06 = 57.06/x
  3. Step 3: Cross multiply
    26.43x = 57.06 × 57.06
  4. Step 4: Simplify right side
    26.43x = 3,256.34
  5. Step 5: Solve for x
    x = 3,256.34/26.43
  6. Step 6: Final answer
    x = 123.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.