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Finding the Third Proportional to 204,750.38 and 309,989.81

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Solution

The third proportional to 204,750.38 and 309,989.81 is: 469,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,750.38 : 309,989.81 = 309,989.81 : x
  2. Step 2: Convert to fraction form
    204,750.38/309,989.81 = 309,989.81/x
  3. Step 3: Cross multiply
    204,750.38x = 309,989.81 × 309,989.81
  4. Step 4: Simplify right side
    204,750.38x = 96,093,683,853.79
  5. Step 5: Solve for x
    x = 96,093,683,853.79/204,750.38
  6. Step 6: Final answer
    x = 469,321.16

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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.