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Finding the Third Proportional to 30,289 and 61,814

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Solution

The third proportional to 30,289 and 61,814 is: 126,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289 : 61,814 = 61,814 : x
  2. Step 2: Convert to fraction form
    30,289/61,814 = 61,814/x
  3. Step 3: Cross multiply
    30,289x = 61,814 × 61,814
  4. Step 4: Simplify right side
    30,289x = 3,820,970,596
  5. Step 5: Solve for x
    x = 3,820,970,596/30,289
  6. Step 6: Final answer
    x = 126,150.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.