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Finding the Third Proportional to 157,422 and 339,721

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Solution

The third proportional to 157,422 and 339,721 is: 733,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,422 : 339,721 = 339,721 : x
  2. Step 2: Convert to fraction form
    157,422/339,721 = 339,721/x
  3. Step 3: Cross multiply
    157,422x = 339,721 × 339,721
  4. Step 4: Simplify right side
    157,422x = 115,410,357,841
  5. Step 5: Solve for x
    x = 115,410,357,841/157,422
  6. Step 6: Final answer
    x = 733,127.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.