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Finding the Third Proportional to 85,845 and 130,767

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Solution

The third proportional to 85,845 and 130,767 is: 199,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,845 : 130,767 = 130,767 : x
  2. Step 2: Convert to fraction form
    85,845/130,767 = 130,767/x
  3. Step 3: Cross multiply
    85,845x = 130,767 × 130,767
  4. Step 4: Simplify right side
    85,845x = 17,100,008,289
  5. Step 5: Solve for x
    x = 17,100,008,289/85,845
  6. Step 6: Final answer
    x = 199,196.32

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Why These Related Problems?

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