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Finding the Third Proportional to 30,519 and 62,865

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Solution

The third proportional to 30,519 and 62,865 is: 129,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519 : 62,865 = 62,865 : x
  2. Step 2: Convert to fraction form
    30,519/62,865 = 62,865/x
  3. Step 3: Cross multiply
    30,519x = 62,865 × 62,865
  4. Step 4: Simplify right side
    30,519x = 3,952,008,225
  5. Step 5: Solve for x
    x = 3,952,008,225/30,519
  6. Step 6: Final answer
    x = 129,493.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.