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Finding the Third Proportional to 31,299 and 68,511

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Solution

The third proportional to 31,299 and 68,511 is: 149,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299 : 68,511 = 68,511 : x
  2. Step 2: Convert to fraction form
    31,299/68,511 = 68,511/x
  3. Step 3: Cross multiply
    31,299x = 68,511 × 68,511
  4. Step 4: Simplify right side
    31,299x = 4,693,757,121
  5. Step 5: Solve for x
    x = 4,693,757,121/31,299
  6. Step 6: Final answer
    x = 149,965.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.