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Finding the Third Proportional to 203,218 and 316,456.75

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Solution

The third proportional to 203,218 and 316,456.75 is: 492,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218 : 316,456.75 = 316,456.75 : x
  2. Step 2: Convert to fraction form
    203,218/316,456.75 = 316,456.75/x
  3. Step 3: Cross multiply
    203,218x = 316,456.75 × 316,456.75
  4. Step 4: Simplify right side
    203,218x = 100,144,874,620.56
  5. Step 5: Solve for x
    x = 100,144,874,620.56/203,218
  6. Step 6: Final answer
    x = 492,795.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.