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Finding the Third Proportional to 51,448 and 109,212

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Solution

The third proportional to 51,448 and 109,212 is: 231,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448 : 109,212 = 109,212 : x
  2. Step 2: Convert to fraction form
    51,448/109,212 = 109,212/x
  3. Step 3: Cross multiply
    51,448x = 109,212 × 109,212
  4. Step 4: Simplify right side
    51,448x = 11,927,260,944
  5. Step 5: Solve for x
    x = 11,927,260,944/51,448
  6. Step 6: Final answer
    x = 231,831.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.