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Finding the Third Proportional to 30,521 and 62,869

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Solution

The third proportional to 30,521 and 62,869 is: 129,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521 : 62,869 = 62,869 : x
  2. Step 2: Convert to fraction form
    30,521/62,869 = 62,869/x
  3. Step 3: Cross multiply
    30,521x = 62,869 × 62,869
  4. Step 4: Simplify right side
    30,521x = 3,952,511,161
  5. Step 5: Solve for x
    x = 3,952,511,161/30,521
  6. Step 6: Final answer
    x = 129,501.36

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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.