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Finding the Third Proportional to 81,356 and 149,212

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Solution

The third proportional to 81,356 and 149,212 is: 273,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,356 : 149,212 = 149,212 : x
  2. Step 2: Convert to fraction form
    81,356/149,212 = 149,212/x
  3. Step 3: Cross multiply
    81,356x = 149,212 × 149,212
  4. Step 4: Simplify right side
    81,356x = 22,264,220,944
  5. Step 5: Solve for x
    x = 22,264,220,944/81,356
  6. Step 6: Final answer
    x = 273,664.15

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.