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Finding the Third Proportional to 54,878 and 87,270

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Solution

The third proportional to 54,878 and 87,270 is: 138,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878 : 87,270 = 87,270 : x
  2. Step 2: Convert to fraction form
    54,878/87,270 = 87,270/x
  3. Step 3: Cross multiply
    54,878x = 87,270 × 87,270
  4. Step 4: Simplify right side
    54,878x = 7,616,052,900
  5. Step 5: Solve for x
    x = 7,616,052,900/54,878
  6. Step 6: Final answer
    x = 138,781.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.