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Finding the Third Proportional to 127,845 and 198,495

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Solution

The third proportional to 127,845 and 198,495 is: 308,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,845 : 198,495 = 198,495 : x
  2. Step 2: Convert to fraction form
    127,845/198,495 = 198,495/x
  3. Step 3: Cross multiply
    127,845x = 198,495 × 198,495
  4. Step 4: Simplify right side
    127,845x = 39,400,265,025
  5. Step 5: Solve for x
    x = 39,400,265,025/127,845
  6. Step 6: Final answer
    x = 308,187.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.