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Finding the Third Proportional to 157,273.50 and 342,195

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Solution

The third proportional to 157,273.50 and 342,195 is: 744,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,273.50 : 342,195 = 342,195 : x
  2. Step 2: Convert to fraction form
    157,273.50/342,195 = 342,195/x
  3. Step 3: Cross multiply
    157,273.50x = 342,195 × 342,195
  4. Step 4: Simplify right side
    157,273.50x = 117,097,418,025
  5. Step 5: Solve for x
    x = 117,097,418,025/157,273.50
  6. Step 6: Final answer
    x = 744,546.40

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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.