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Finding the Third Proportional to 204,438 and 310,347

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Solution

The third proportional to 204,438 and 310,347 is: 471,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,438 : 310,347 = 310,347 : x
  2. Step 2: Convert to fraction form
    204,438/310,347 = 310,347/x
  3. Step 3: Cross multiply
    204,438x = 310,347 × 310,347
  4. Step 4: Simplify right side
    204,438x = 96,315,260,409
  5. Step 5: Solve for x
    x = 96,315,260,409/204,438
  6. Step 6: Final answer
    x = 471,122.10

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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.