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Finding the Third Proportional to 5.78 and 9.25

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Solution

The third proportional to 5.78 and 9.25 is: 14.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 9.25 = 9.25 : x
  2. Step 2: Convert to fraction form
    5.78/9.25 = 9.25/x
  3. Step 3: Cross multiply
    5.78x = 9.25 × 9.25
  4. Step 4: Simplify right side
    5.78x = 85.51
  5. Step 5: Solve for x
    x = 85.51/5.78
  6. Step 6: Final answer
    x = 14.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.