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Finding the Third Proportional to 157,938 and 204,915

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Solution

The third proportional to 157,938 and 204,915 is: 265,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,938 : 204,915 = 204,915 : x
  2. Step 2: Convert to fraction form
    157,938/204,915 = 204,915/x
  3. Step 3: Cross multiply
    157,938x = 204,915 × 204,915
  4. Step 4: Simplify right side
    157,938x = 41,990,157,225
  5. Step 5: Solve for x
    x = 41,990,157,225/157,938
  6. Step 6: Final answer
    x = 265,864.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.