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Finding the Third Proportional to 157,221 and 339,471

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Solution

The third proportional to 157,221 and 339,471 is: 732,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,221 : 339,471 = 339,471 : x
  2. Step 2: Convert to fraction form
    157,221/339,471 = 339,471/x
  3. Step 3: Cross multiply
    157,221x = 339,471 × 339,471
  4. Step 4: Simplify right side
    157,221x = 115,240,559,841
  5. Step 5: Solve for x
    x = 115,240,559,841/157,221
  6. Step 6: Final answer
    x = 732,984.52

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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.