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Finding the Third Proportional to 157,936 and 345,394

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Solution

The third proportional to 157,936 and 345,394 is: 755,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,936 : 345,394 = 345,394 : x
  2. Step 2: Convert to fraction form
    157,936/345,394 = 345,394/x
  3. Step 3: Cross multiply
    157,936x = 345,394 × 345,394
  4. Step 4: Simplify right side
    157,936x = 119,297,015,236
  5. Step 5: Solve for x
    x = 119,297,015,236/157,936
  6. Step 6: Final answer
    x = 755,350.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.