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Finding the Third Proportional to 20,110 and 43,289

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Solution

The third proportional to 20,110 and 43,289 is: 93,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110 : 43,289 = 43,289 : x
  2. Step 2: Convert to fraction form
    20,110/43,289 = 43,289/x
  3. Step 3: Cross multiply
    20,110x = 43,289 × 43,289
  4. Step 4: Simplify right side
    20,110x = 1,873,937,521
  5. Step 5: Solve for x
    x = 1,873,937,521/20,110
  6. Step 6: Final answer
    x = 93,184.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.