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Finding the Third Proportional to 57,456 and 86,247

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Solution

The third proportional to 57,456 and 86,247 is: 129,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456 : 86,247 = 86,247 : x
  2. Step 2: Convert to fraction form
    57,456/86,247 = 86,247/x
  3. Step 3: Cross multiply
    57,456x = 86,247 × 86,247
  4. Step 4: Simplify right side
    57,456x = 7,438,545,009
  5. Step 5: Solve for x
    x = 7,438,545,009/57,456
  6. Step 6: Final answer
    x = 129,465.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.