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Finding the Third Proportional to 136,051.50 and 204,600

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Solution

The third proportional to 136,051.50 and 204,600 is: 307,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,051.50 : 204,600 = 204,600 : x
  2. Step 2: Convert to fraction form
    136,051.50/204,600 = 204,600/x
  3. Step 3: Cross multiply
    136,051.50x = 204,600 × 204,600
  4. Step 4: Simplify right side
    136,051.50x = 41,861,160,000
  5. Step 5: Solve for x
    x = 41,861,160,000/136,051.50
  6. Step 6: Final answer
    x = 307,686.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.