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Finding the Third Proportional to 57,638 and 86,457

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Solution

The third proportional to 57,638 and 86,457 is: 129,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638 : 86,457 = 86,457 : x
  2. Step 2: Convert to fraction form
    57,638/86,457 = 86,457/x
  3. Step 3: Cross multiply
    57,638x = 86,457 × 86,457
  4. Step 4: Simplify right side
    57,638x = 7,474,812,849
  5. Step 5: Solve for x
    x = 7,474,812,849/57,638
  6. Step 6: Final answer
    x = 129,685.50

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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.