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Finding the Third Proportional to 109,857,384 and 161,422,812

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Solution

The third proportional to 109,857,384 and 161,422,812 is: 237,192,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,857,384 : 161,422,812 = 161,422,812 : x
  2. Step 2: Convert to fraction form
    109,857,384/161,422,812 = 161,422,812/x
  3. Step 3: Cross multiply
    109,857,384x = 161,422,812 × 161,422,812
  4. Step 4: Simplify right side
    109,857,384x = 26,057,324,233,987,344
  5. Step 5: Solve for x
    x = 26,057,324,233,987,344/109,857,384
  6. Step 6: Final answer
    x = 237,192,287.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.