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Finding the Third Proportional to 179,640 and 261,558

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Solution

The third proportional to 179,640 and 261,558 is: 380,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,640 : 261,558 = 261,558 : x
  2. Step 2: Convert to fraction form
    179,640/261,558 = 261,558/x
  3. Step 3: Cross multiply
    179,640x = 261,558 × 261,558
  4. Step 4: Simplify right side
    179,640x = 68,412,587,364
  5. Step 5: Solve for x
    x = 68,412,587,364/179,640
  6. Step 6: Final answer
    x = 380,831.59

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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.