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Finding the Third Proportional to 123,011 and 157,183

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Solution

The third proportional to 123,011 and 157,183 is: 200,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,011 : 157,183 = 157,183 : x
  2. Step 2: Convert to fraction form
    123,011/157,183 = 157,183/x
  3. Step 3: Cross multiply
    123,011x = 157,183 × 157,183
  4. Step 4: Simplify right side
    123,011x = 24,706,495,489
  5. Step 5: Solve for x
    x = 24,706,495,489/123,011
  6. Step 6: Final answer
    x = 200,847.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.