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Finding the Third Proportional to 54,315 and 81,819

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Solution

The third proportional to 54,315 and 81,819 is: 123,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315 : 81,819 = 81,819 : x
  2. Step 2: Convert to fraction form
    54,315/81,819 = 81,819/x
  3. Step 3: Cross multiply
    54,315x = 81,819 × 81,819
  4. Step 4: Simplify right side
    54,315x = 6,694,348,761
  5. Step 5: Solve for x
    x = 6,694,348,761/54,315
  6. Step 6: Final answer
    x = 123,250.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.