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Finding the Third Proportional to 135,810 and 198,855

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Solution

The third proportional to 135,810 and 198,855 is: 291,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,810 : 198,855 = 198,855 : x
  2. Step 2: Convert to fraction form
    135,810/198,855 = 198,855/x
  3. Step 3: Cross multiply
    135,810x = 198,855 × 198,855
  4. Step 4: Simplify right side
    135,810x = 39,543,311,025
  5. Step 5: Solve for x
    x = 39,543,311,025/135,810
  6. Step 6: Final answer
    x = 291,166.42

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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.