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Finding the Third Proportional to 157,512 and 342,672

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Solution

The third proportional to 157,512 and 342,672 is: 745,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,512 : 342,672 = 342,672 : x
  2. Step 2: Convert to fraction form
    157,512/342,672 = 342,672/x
  3. Step 3: Cross multiply
    157,512x = 342,672 × 342,672
  4. Step 4: Simplify right side
    157,512x = 117,424,099,584
  5. Step 5: Solve for x
    x = 117,424,099,584/157,512
  6. Step 6: Final answer
    x = 745,493.04

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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.