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Finding the Third Proportional to 203,912 and 310,188

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Solution

The third proportional to 203,912 and 310,188 is: 471,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,912 : 310,188 = 310,188 : x
  2. Step 2: Convert to fraction form
    203,912/310,188 = 310,188/x
  3. Step 3: Cross multiply
    203,912x = 310,188 × 310,188
  4. Step 4: Simplify right side
    203,912x = 96,216,595,344
  5. Step 5: Solve for x
    x = 96,216,595,344/203,912
  6. Step 6: Final answer
    x = 471,853.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.