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Finding the Third Proportional to 135,505 and 204,256.50

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Solution

The third proportional to 135,505 and 204,256.50 is: 307,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,505 : 204,256.50 = 204,256.50 : x
  2. Step 2: Convert to fraction form
    135,505/204,256.50 = 204,256.50/x
  3. Step 3: Cross multiply
    135,505x = 204,256.50 × 204,256.50
  4. Step 4: Simplify right side
    135,505x = 41,720,717,792.25
  5. Step 5: Solve for x
    x = 41,720,717,792.25/135,505
  6. Step 6: Final answer
    x = 307,890.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.