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Finding the Third Proportional to 38,518 and 57,457

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Solution

The third proportional to 38,518 and 57,457 is: 85,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,518 : 57,457 = 57,457 : x
  2. Step 2: Convert to fraction form
    38,518/57,457 = 57,457/x
  3. Step 3: Cross multiply
    38,518x = 57,457 × 57,457
  4. Step 4: Simplify right side
    38,518x = 3,301,306,849
  5. Step 5: Solve for x
    x = 3,301,306,849/38,518
  6. Step 6: Final answer
    x = 85,708.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.