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Finding the Third Proportional to 151,718 and 331,084

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Solution

The third proportional to 151,718 and 331,084 is: 722,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,718 : 331,084 = 331,084 : x
  2. Step 2: Convert to fraction form
    151,718/331,084 = 331,084/x
  3. Step 3: Cross multiply
    151,718x = 331,084 × 331,084
  4. Step 4: Simplify right side
    151,718x = 109,616,615,056
  5. Step 5: Solve for x
    x = 109,616,615,056/151,718
  6. Step 6: Final answer
    x = 722,502.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.