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Finding the Third Proportional to 57,195 and 86,213

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Solution

The third proportional to 57,195 and 86,213 is: 129,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,195 : 86,213 = 86,213 : x
  2. Step 2: Convert to fraction form
    57,195/86,213 = 86,213/x
  3. Step 3: Cross multiply
    57,195x = 86,213 × 86,213
  4. Step 4: Simplify right side
    57,195x = 7,432,681,369
  5. Step 5: Solve for x
    x = 7,432,681,369/57,195
  6. Step 6: Final answer
    x = 129,953.34

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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.