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Finding the Third Proportional to 157,306.50 and 340,857

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Solution

The third proportional to 157,306.50 and 340,857 is: 738,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,306.50 : 340,857 = 340,857 : x
  2. Step 2: Convert to fraction form
    157,306.50/340,857 = 340,857/x
  3. Step 3: Cross multiply
    157,306.50x = 340,857 × 340,857
  4. Step 4: Simplify right side
    157,306.50x = 116,183,494,449
  5. Step 5: Solve for x
    x = 116,183,494,449/157,306.50
  6. Step 6: Final answer
    x = 738,580.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.