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Finding the Third Proportional to 31,409 and 68,349

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Solution

The third proportional to 31,409 and 68,349 is: 148,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409 : 68,349 = 68,349 : x
  2. Step 2: Convert to fraction form
    31,409/68,349 = 68,349/x
  3. Step 3: Cross multiply
    31,409x = 68,349 × 68,349
  4. Step 4: Simplify right side
    31,409x = 4,671,585,801
  5. Step 5: Solve for x
    x = 4,671,585,801/31,409
  6. Step 6: Final answer
    x = 148,733.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.