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Finding the Third Proportional to 157,290 and 339,608

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Solution

The third proportional to 157,290 and 339,608 is: 733,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,290 : 339,608 = 339,608 : x
  2. Step 2: Convert to fraction form
    157,290/339,608 = 339,608/x
  3. Step 3: Cross multiply
    157,290x = 339,608 × 339,608
  4. Step 4: Simplify right side
    157,290x = 115,333,593,664
  5. Step 5: Solve for x
    x = 115,333,593,664/157,290
  6. Step 6: Final answer
    x = 733,254.46

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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.