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Finding the Third Proportional to 79,878 and 121,275

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Solution

The third proportional to 79,878 and 121,275 is: 184,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,878 : 121,275 = 121,275 : x
  2. Step 2: Convert to fraction form
    79,878/121,275 = 121,275/x
  3. Step 3: Cross multiply
    79,878x = 121,275 × 121,275
  4. Step 4: Simplify right side
    79,878x = 14,707,625,625
  5. Step 5: Solve for x
    x = 14,707,625,625/79,878
  6. Step 6: Final answer
    x = 184,126.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.