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Finding the Third Proportional to 51,298 and 80,187

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Solution

The third proportional to 51,298 and 80,187 is: 125,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,298 : 80,187 = 80,187 : x
  2. Step 2: Convert to fraction form
    51,298/80,187 = 80,187/x
  3. Step 3: Cross multiply
    51,298x = 80,187 × 80,187
  4. Step 4: Simplify right side
    51,298x = 6,429,954,969
  5. Step 5: Solve for x
    x = 6,429,954,969/51,298
  6. Step 6: Final answer
    x = 125,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.