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Finding the Third Proportional to 40,238 and 57,457

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Solution

The third proportional to 40,238 and 57,457 is: 82,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,238 : 57,457 = 57,457 : x
  2. Step 2: Convert to fraction form
    40,238/57,457 = 57,457/x
  3. Step 3: Cross multiply
    40,238x = 57,457 × 57,457
  4. Step 4: Simplify right side
    40,238x = 3,301,306,849
  5. Step 5: Solve for x
    x = 3,301,306,849/40,238
  6. Step 6: Final answer
    x = 82,044.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.