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Finding the Third Proportional to 122,364 and 178,814

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Solution

The third proportional to 122,364 and 178,814 is: 261,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,364 : 178,814 = 178,814 : x
  2. Step 2: Convert to fraction form
    122,364/178,814 = 178,814/x
  3. Step 3: Cross multiply
    122,364x = 178,814 × 178,814
  4. Step 4: Simplify right side
    122,364x = 31,974,446,596
  5. Step 5: Solve for x
    x = 31,974,446,596/122,364
  6. Step 6: Final answer
    x = 261,305.99

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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.