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Finding the Third Proportional to 61,878 and 134,908

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Solution

The third proportional to 61,878 and 134,908 is: 294,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,878 : 134,908 = 134,908 : x
  2. Step 2: Convert to fraction form
    61,878/134,908 = 134,908/x
  3. Step 3: Cross multiply
    61,878x = 134,908 × 134,908
  4. Step 4: Simplify right side
    61,878x = 18,200,168,464
  5. Step 5: Solve for x
    x = 18,200,168,464/61,878
  6. Step 6: Final answer
    x = 294,129.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.