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Finding the Third Proportional to 57,168 and 86,202

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Solution

The third proportional to 57,168 and 86,202 is: 129,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,168 : 86,202 = 86,202 : x
  2. Step 2: Convert to fraction form
    57,168/86,202 = 86,202/x
  3. Step 3: Cross multiply
    57,168x = 86,202 × 86,202
  4. Step 4: Simplify right side
    57,168x = 7,430,784,804
  5. Step 5: Solve for x
    x = 7,430,784,804/57,168
  6. Step 6: Final answer
    x = 129,981.54

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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.