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Finding the Third Proportional to 81,567 and 128,916

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Solution

The third proportional to 81,567 and 128,916 is: 203,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,567 : 128,916 = 128,916 : x
  2. Step 2: Convert to fraction form
    81,567/128,916 = 128,916/x
  3. Step 3: Cross multiply
    81,567x = 128,916 × 128,916
  4. Step 4: Simplify right side
    81,567x = 16,619,335,056
  5. Step 5: Solve for x
    x = 16,619,335,056/81,567
  6. Step 6: Final answer
    x = 203,750.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.