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Finding the Third Proportional to 79,974 and 119,518

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Solution

The third proportional to 79,974 and 119,518 is: 178,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,974 : 119,518 = 119,518 : x
  2. Step 2: Convert to fraction form
    79,974/119,518 = 119,518/x
  3. Step 3: Cross multiply
    79,974x = 119,518 × 119,518
  4. Step 4: Simplify right side
    79,974x = 14,284,552,324
  5. Step 5: Solve for x
    x = 14,284,552,324/79,974
  6. Step 6: Final answer
    x = 178,614.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.