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Finding the Third Proportional to 4,738 and 9,778

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Solution

The third proportional to 4,738 and 9,778 is: 20,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738 : 9,778 = 9,778 : x
  2. Step 2: Convert to fraction form
    4,738/9,778 = 9,778/x
  3. Step 3: Cross multiply
    4,738x = 9,778 × 9,778
  4. Step 4: Simplify right side
    4,738x = 95,609,284
  5. Step 5: Solve for x
    x = 95,609,284/4,738
  6. Step 6: Final answer
    x = 20,179.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.