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Finding the Third Proportional to 4.34 and 6.45

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Solution

The third proportional to 4.34 and 6.45 is: 9.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.34 : 6.45 = 6.45 : x
  2. Step 2: Convert to fraction form
    4.34/6.45 = 6.45/x
  3. Step 3: Cross multiply
    4.34x = 6.45 × 6.45
  4. Step 4: Simplify right side
    4.34x = 41.62
  5. Step 5: Solve for x
    x = 41.62/4.34
  6. Step 6: Final answer
    x = 9.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.