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Finding the Third Proportional to 61,686 and 92,979

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Solution

The third proportional to 61,686 and 92,979 is: 140,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686 : 92,979 = 92,979 : x
  2. Step 2: Convert to fraction form
    61,686/92,979 = 92,979/x
  3. Step 3: Cross multiply
    61,686x = 92,979 × 92,979
  4. Step 4: Simplify right side
    61,686x = 8,645,094,441
  5. Step 5: Solve for x
    x = 8,645,094,441/61,686
  6. Step 6: Final answer
    x = 140,146.78

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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.