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Finding the Third Proportional to 4,819 and 9,719

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Solution

The third proportional to 4,819 and 9,719 is: 19,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819 : 9,719 = 9,719 : x
  2. Step 2: Convert to fraction form
    4,819/9,719 = 9,719/x
  3. Step 3: Cross multiply
    4,819x = 9,719 × 9,719
  4. Step 4: Simplify right side
    4,819x = 94,458,961
  5. Step 5: Solve for x
    x = 94,458,961/4,819
  6. Step 6: Final answer
    x = 19,601.36

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.