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Finding the Third Proportional to 157,237 and 339,381

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Solution

The third proportional to 157,237 and 339,381 is: 732,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,237 : 339,381 = 339,381 : x
  2. Step 2: Convert to fraction form
    157,237/339,381 = 339,381/x
  3. Step 3: Cross multiply
    157,237x = 339,381 × 339,381
  4. Step 4: Simplify right side
    157,237x = 115,179,463,161
  5. Step 5: Solve for x
    x = 115,179,463,161/157,237
  6. Step 6: Final answer
    x = 732,521.37

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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.