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Finding the Third Proportional to 122,836 and 187,531

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Solution

The third proportional to 122,836 and 187,531 is: 286,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836 : 187,531 = 187,531 : x
  2. Step 2: Convert to fraction form
    122,836/187,531 = 187,531/x
  3. Step 3: Cross multiply
    122,836x = 187,531 × 187,531
  4. Step 4: Simplify right side
    122,836x = 35,167,875,961
  5. Step 5: Solve for x
    x = 35,167,875,961/122,836
  6. Step 6: Final answer
    x = 286,299.42

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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.