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Finding the Third Proportional to 135,218 and 200,595

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Solution

The third proportional to 135,218 and 200,595 is: 297,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,218 : 200,595 = 200,595 : x
  2. Step 2: Convert to fraction form
    135,218/200,595 = 200,595/x
  3. Step 3: Cross multiply
    135,218x = 200,595 × 200,595
  4. Step 4: Simplify right side
    135,218x = 40,238,354,025
  5. Step 5: Solve for x
    x = 40,238,354,025/135,218
  6. Step 6: Final answer
    x = 297,581.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.