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Finding the Third Proportional to 136,140.75 and 204,142.78

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Solution

The third proportional to 136,140.75 and 204,142.78 is: 306,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,140.75 : 204,142.78 = 204,142.78 : x
  2. Step 2: Convert to fraction form
    136,140.75/204,142.78 = 204,142.78/x
  3. Step 3: Cross multiply
    136,140.75x = 204,142.78 × 204,142.78
  4. Step 4: Simplify right side
    136,140.75x = 41,674,275,136.49
  5. Step 5: Solve for x
    x = 41,674,275,136.49/136,140.75
  6. Step 6: Final answer
    x = 306,111.69

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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.