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Finding the Third Proportional to 56,868 and 86,085

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Solution

The third proportional to 56,868 and 86,085 is: 130,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,868 : 86,085 = 86,085 : x
  2. Step 2: Convert to fraction form
    56,868/86,085 = 86,085/x
  3. Step 3: Cross multiply
    56,868x = 86,085 × 86,085
  4. Step 4: Simplify right side
    56,868x = 7,410,627,225
  5. Step 5: Solve for x
    x = 7,410,627,225/56,868
  6. Step 6: Final answer
    x = 130,312.78

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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.