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Finding the Third Proportional to 4.76 and 7.74

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Solution

The third proportional to 4.76 and 7.74 is: 12.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.76 : 7.74 = 7.74 : x
  2. Step 2: Convert to fraction form
    4.76/7.74 = 7.74/x
  3. Step 3: Cross multiply
    4.76x = 7.74 × 7.74
  4. Step 4: Simplify right side
    4.76x = 59.84
  5. Step 5: Solve for x
    x = 59.84/4.76
  6. Step 6: Final answer
    x = 12.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.