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Finding the Third Proportional to 157,649 and 345,956

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Solution

The third proportional to 157,649 and 345,956 is: 759,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649 : 345,956 = 345,956 : x
  2. Step 2: Convert to fraction form
    157,649/345,956 = 345,956/x
  3. Step 3: Cross multiply
    157,649x = 345,956 × 345,956
  4. Step 4: Simplify right side
    157,649x = 119,685,553,936
  5. Step 5: Solve for x
    x = 119,685,553,936/157,649
  6. Step 6: Final answer
    x = 759,190.06

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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.