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Finding the Third Proportional to 157,659 and 345,977

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Solution

The third proportional to 157,659 and 345,977 is: 759,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,659 : 345,977 = 345,977 : x
  2. Step 2: Convert to fraction form
    157,659/345,977 = 345,977/x
  3. Step 3: Cross multiply
    157,659x = 345,977 × 345,977
  4. Step 4: Simplify right side
    157,659x = 119,700,084,529
  5. Step 5: Solve for x
    x = 119,700,084,529/157,659
  6. Step 6: Final answer
    x = 759,234.07

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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.