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Finding the Third Proportional to 57,199 and 86,219

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Solution

The third proportional to 57,199 and 86,219 is: 129,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199 : 86,219 = 86,219 : x
  2. Step 2: Convert to fraction form
    57,199/86,219 = 86,219/x
  3. Step 3: Cross multiply
    57,199x = 86,219 × 86,219
  4. Step 4: Simplify right side
    57,199x = 7,433,715,961
  5. Step 5: Solve for x
    x = 7,433,715,961/57,199
  6. Step 6: Final answer
    x = 129,962.34

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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.