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Finding the Third Proportional to 204,438 and 310,348

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Solution

The third proportional to 204,438 and 310,348 is: 471,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,438 : 310,348 = 310,348 : x
  2. Step 2: Convert to fraction form
    204,438/310,348 = 310,348/x
  3. Step 3: Cross multiply
    204,438x = 310,348 × 310,348
  4. Step 4: Simplify right side
    204,438x = 96,315,881,104
  5. Step 5: Solve for x
    x = 96,315,881,104/204,438
  6. Step 6: Final answer
    x = 471,125.14

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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.