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Finding the Third Proportional to 131,410 and 202,218

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Solution

The third proportional to 131,410 and 202,218 is: 311,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,410 : 202,218 = 202,218 : x
  2. Step 2: Convert to fraction form
    131,410/202,218 = 202,218/x
  3. Step 3: Cross multiply
    131,410x = 202,218 × 202,218
  4. Step 4: Simplify right side
    131,410x = 40,892,119,524
  5. Step 5: Solve for x
    x = 40,892,119,524/131,410
  6. Step 6: Final answer
    x = 311,179.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.