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Finding the Third Proportional to 157,749.50 and 342,115

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Solution

The third proportional to 157,749.50 and 342,115 is: 741,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,749.50 : 342,115 = 342,115 : x
  2. Step 2: Convert to fraction form
    157,749.50/342,115 = 342,115/x
  3. Step 3: Cross multiply
    157,749.50x = 342,115 × 342,115
  4. Step 4: Simplify right side
    157,749.50x = 117,042,673,225
  5. Step 5: Solve for x
    x = 117,042,673,225/157,749.50
  6. Step 6: Final answer
    x = 741,952.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.