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Finding the Third Proportional to 174,640 and 266,974

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Solution

The third proportional to 174,640 and 266,974 is: 408,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,640 : 266,974 = 266,974 : x
  2. Step 2: Convert to fraction form
    174,640/266,974 = 266,974/x
  3. Step 3: Cross multiply
    174,640x = 266,974 × 266,974
  4. Step 4: Simplify right side
    174,640x = 71,275,116,676
  5. Step 5: Solve for x
    x = 71,275,116,676/174,640
  6. Step 6: Final answer
    x = 408,125.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.