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Finding the Third Proportional to 157,059 and 339,390

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Solution

The third proportional to 157,059 and 339,390 is: 733,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,059 : 339,390 = 339,390 : x
  2. Step 2: Convert to fraction form
    157,059/339,390 = 339,390/x
  3. Step 3: Cross multiply
    157,059x = 339,390 × 339,390
  4. Step 4: Simplify right side
    157,059x = 115,185,572,100
  5. Step 5: Solve for x
    x = 115,185,572,100/157,059
  6. Step 6: Final answer
    x = 733,390.46

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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.