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Finding the Third Proportional to 124,880 and 189,888

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Solution

The third proportional to 124,880 and 189,888 is: 288,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,880 : 189,888 = 189,888 : x
  2. Step 2: Convert to fraction form
    124,880/189,888 = 189,888/x
  3. Step 3: Cross multiply
    124,880x = 189,888 × 189,888
  4. Step 4: Simplify right side
    124,880x = 36,057,452,544
  5. Step 5: Solve for x
    x = 36,057,452,544/124,880
  6. Step 6: Final answer
    x = 288,736.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.