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Finding the Third Proportional to 204,440 and 310,351

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Solution

The third proportional to 204,440 and 310,351 is: 471,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,440 : 310,351 = 310,351 : x
  2. Step 2: Convert to fraction form
    204,440/310,351 = 310,351/x
  3. Step 3: Cross multiply
    204,440x = 310,351 × 310,351
  4. Step 4: Simplify right side
    204,440x = 96,317,743,201
  5. Step 5: Solve for x
    x = 96,317,743,201/204,440
  6. Step 6: Final answer
    x = 471,129.64

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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.