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Finding the Third Proportional to 157,634 and 342,916

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Solution

The third proportional to 157,634 and 342,916 is: 745,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,634 : 342,916 = 342,916 : x
  2. Step 2: Convert to fraction form
    157,634/342,916 = 342,916/x
  3. Step 3: Cross multiply
    157,634x = 342,916 × 342,916
  4. Step 4: Simplify right side
    157,634x = 117,591,383,056
  5. Step 5: Solve for x
    x = 117,591,383,056/157,634
  6. Step 6: Final answer
    x = 745,977.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.