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Finding the Third Proportional to 57,248 and 84,215

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Solution

The third proportional to 57,248 and 84,215 is: 123,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,248 : 84,215 = 84,215 : x
  2. Step 2: Convert to fraction form
    57,248/84,215 = 84,215/x
  3. Step 3: Cross multiply
    57,248x = 84,215 × 84,215
  4. Step 4: Simplify right side
    57,248x = 7,092,166,225
  5. Step 5: Solve for x
    x = 7,092,166,225/57,248
  6. Step 6: Final answer
    x = 123,884.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.