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Finding the Third Proportional to 157,722 and 345,979

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Solution

The third proportional to 157,722 and 345,979 is: 758,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722 : 345,979 = 345,979 : x
  2. Step 2: Convert to fraction form
    157,722/345,979 = 345,979/x
  3. Step 3: Cross multiply
    157,722x = 345,979 × 345,979
  4. Step 4: Simplify right side
    157,722x = 119,701,468,441
  5. Step 5: Solve for x
    x = 119,701,468,441/157,722
  6. Step 6: Final answer
    x = 758,939.58

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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.