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Finding the Third Proportional to 199,218 and 308,466

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Solution

The third proportional to 199,218 and 308,466 is: 477,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,218 : 308,466 = 308,466 : x
  2. Step 2: Convert to fraction form
    199,218/308,466 = 308,466/x
  3. Step 3: Cross multiply
    199,218x = 308,466 × 308,466
  4. Step 4: Simplify right side
    199,218x = 95,151,273,156
  5. Step 5: Solve for x
    x = 95,151,273,156/199,218
  6. Step 6: Final answer
    x = 477,623.88

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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.