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Finding the Third Proportional to 4,778 and 5,258

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Solution

The third proportional to 4,778 and 5,258 is: 5,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 5,258 = 5,258 : x
  2. Step 2: Convert to fraction form
    4,778/5,258 = 5,258/x
  3. Step 3: Cross multiply
    4,778x = 5,258 × 5,258
  4. Step 4: Simplify right side
    4,778x = 27,646,564
  5. Step 5: Solve for x
    x = 27,646,564/4,778
  6. Step 6: Final answer
    x = 5,786.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.