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Finding the Third Proportional to 30,311 and 62,124

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Solution

The third proportional to 30,311 and 62,124 is: 127,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311 : 62,124 = 62,124 : x
  2. Step 2: Convert to fraction form
    30,311/62,124 = 62,124/x
  3. Step 3: Cross multiply
    30,311x = 62,124 × 62,124
  4. Step 4: Simplify right side
    30,311x = 3,859,391,376
  5. Step 5: Solve for x
    x = 3,859,391,376/30,311
  6. Step 6: Final answer
    x = 127,326.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.