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Finding the Third Proportional to 122,912 and 185,495

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Solution

The third proportional to 122,912 and 185,495 is: 279,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,912 : 185,495 = 185,495 : x
  2. Step 2: Convert to fraction form
    122,912/185,495 = 185,495/x
  3. Step 3: Cross multiply
    122,912x = 185,495 × 185,495
  4. Step 4: Simplify right side
    122,912x = 34,408,395,025
  5. Step 5: Solve for x
    x = 34,408,395,025/122,912
  6. Step 6: Final answer
    x = 279,943.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.