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Finding the Third Proportional to 122,780 and 183,414

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Solution

The third proportional to 122,780 and 183,414 is: 273,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,780 : 183,414 = 183,414 : x
  2. Step 2: Convert to fraction form
    122,780/183,414 = 183,414/x
  3. Step 3: Cross multiply
    122,780x = 183,414 × 183,414
  4. Step 4: Simplify right side
    122,780x = 33,640,695,396
  5. Step 5: Solve for x
    x = 33,640,695,396/122,780
  6. Step 6: Final answer
    x = 273,991.65

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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.