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Finding the Third Proportional to 203,910 and 310,362

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Solution

The third proportional to 203,910 and 310,362 is: 472,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910 : 310,362 = 310,362 : x
  2. Step 2: Convert to fraction form
    203,910/310,362 = 310,362/x
  3. Step 3: Cross multiply
    203,910x = 310,362 × 310,362
  4. Step 4: Simplify right side
    203,910x = 96,324,571,044
  5. Step 5: Solve for x
    x = 96,324,571,044/203,910
  6. Step 6: Final answer
    x = 472,387.68

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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.