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Finding the Third Proportional to 124,128 and 189,864

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Solution

The third proportional to 124,128 and 189,864 is: 290,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,128 : 189,864 = 189,864 : x
  2. Step 2: Convert to fraction form
    124,128/189,864 = 189,864/x
  3. Step 3: Cross multiply
    124,128x = 189,864 × 189,864
  4. Step 4: Simplify right side
    124,128x = 36,048,338,496
  5. Step 5: Solve for x
    x = 36,048,338,496/124,128
  6. Step 6: Final answer
    x = 290,412.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.