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Finding the Third Proportional to 4.34 and 9.53

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Solution

The third proportional to 4.34 and 9.53 is: 20.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.34 : 9.53 = 9.53 : x
  2. Step 2: Convert to fraction form
    4.34/9.53 = 9.53/x
  3. Step 3: Cross multiply
    4.34x = 9.53 × 9.53
  4. Step 4: Simplify right side
    4.34x = 90.84
  5. Step 5: Solve for x
    x = 90.84/4.34
  6. Step 6: Final answer
    x = 20.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.