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Finding the Third Proportional to 128,423.11 and 204,527.74

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Solution

The third proportional to 128,423.11 and 204,527.74 is: 325,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,423.11 : 204,527.74 = 204,527.74 : x
  2. Step 2: Convert to fraction form
    128,423.11/204,527.74 = 204,527.74/x
  3. Step 3: Cross multiply
    128,423.11x = 204,527.74 × 204,527.74
  4. Step 4: Simplify right side
    128,423.11x = 41,831,597,324.32
  5. Step 5: Solve for x
    x = 41,831,597,324.32/128,423.11
  6. Step 6: Final answer
    x = 325,732.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.