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Finding the Third Proportional to 157,147 and 339,210

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Solution

The third proportional to 157,147 and 339,210 is: 732,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,147 : 339,210 = 339,210 : x
  2. Step 2: Convert to fraction form
    157,147/339,210 = 339,210/x
  3. Step 3: Cross multiply
    157,147x = 339,210 × 339,210
  4. Step 4: Simplify right side
    157,147x = 115,063,424,100
  5. Step 5: Solve for x
    x = 115,063,424,100/157,147
  6. Step 6: Final answer
    x = 732,202.49

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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.