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Finding the Third Proportional to 157,772 and 339,600

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Solution

The third proportional to 157,772 and 339,600 is: 730,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,772 : 339,600 = 339,600 : x
  2. Step 2: Convert to fraction form
    157,772/339,600 = 339,600/x
  3. Step 3: Cross multiply
    157,772x = 339,600 × 339,600
  4. Step 4: Simplify right side
    157,772x = 115,328,160,000
  5. Step 5: Solve for x
    x = 115,328,160,000/157,772
  6. Step 6: Final answer
    x = 730,979.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.