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Finding the Third Proportional to 54,274 and 81,307

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Solution

The third proportional to 54,274 and 81,307 is: 121,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,274 : 81,307 = 81,307 : x
  2. Step 2: Convert to fraction form
    54,274/81,307 = 81,307/x
  3. Step 3: Cross multiply
    54,274x = 81,307 × 81,307
  4. Step 4: Simplify right side
    54,274x = 6,610,828,249
  5. Step 5: Solve for x
    x = 6,610,828,249/54,274
  6. Step 6: Final answer
    x = 121,804.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.