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Finding the Third Proportional to 109,719 and 264,819

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Solution

The third proportional to 109,719 and 264,819 is: 639,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719 : 264,819 = 264,819 : x
  2. Step 2: Convert to fraction form
    109,719/264,819 = 264,819/x
  3. Step 3: Cross multiply
    109,719x = 264,819 × 264,819
  4. Step 4: Simplify right side
    109,719x = 70,129,102,761
  5. Step 5: Solve for x
    x = 70,129,102,761/109,719
  6. Step 6: Final answer
    x = 639,170.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.