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Finding the Third Proportional to 79,299 and 115,970

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Solution

The third proportional to 79,299 and 115,970 is: 169,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,299 : 115,970 = 115,970 : x
  2. Step 2: Convert to fraction form
    79,299/115,970 = 115,970/x
  3. Step 3: Cross multiply
    79,299x = 115,970 × 115,970
  4. Step 4: Simplify right side
    79,299x = 13,449,040,900
  5. Step 5: Solve for x
    x = 13,449,040,900/79,299
  6. Step 6: Final answer
    x = 169,599.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.