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Finding the Third Proportional to 133,121.81 and 201,068.72

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Solution

The third proportional to 133,121.81 and 201,068.72 is: 303,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,121.81 : 201,068.72 = 201,068.72 : x
  2. Step 2: Convert to fraction form
    133,121.81/201,068.72 = 201,068.72/x
  3. Step 3: Cross multiply
    133,121.81x = 201,068.72 × 201,068.72
  4. Step 4: Simplify right side
    133,121.81x = 40,428,629,659.77
  5. Step 5: Solve for x
    x = 40,428,629,659.77/133,121.81
  6. Step 6: Final answer
    x = 303,696.51

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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.