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Finding the Third Proportional to 38,519 and 57,459

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Solution

The third proportional to 38,519 and 57,459 is: 85,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,519 : 57,459 = 57,459 : x
  2. Step 2: Convert to fraction form
    38,519/57,459 = 57,459/x
  3. Step 3: Cross multiply
    38,519x = 57,459 × 57,459
  4. Step 4: Simplify right side
    38,519x = 3,301,536,681
  5. Step 5: Solve for x
    x = 3,301,536,681/38,519
  6. Step 6: Final answer
    x = 85,711.90

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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.