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Finding the Third Proportional to 157,649 and 345,958

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Solution

The third proportional to 157,649 and 345,958 is: 759,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649 : 345,958 = 345,958 : x
  2. Step 2: Convert to fraction form
    157,649/345,958 = 345,958/x
  3. Step 3: Cross multiply
    157,649x = 345,958 × 345,958
  4. Step 4: Simplify right side
    157,649x = 119,686,937,764
  5. Step 5: Solve for x
    x = 119,686,937,764/157,649
  6. Step 6: Final answer
    x = 759,198.84

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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.