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Finding the Third Proportional to 123,432 and 186,879

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Solution

The third proportional to 123,432 and 186,879 is: 282,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,432 : 186,879 = 186,879 : x
  2. Step 2: Convert to fraction form
    123,432/186,879 = 186,879/x
  3. Step 3: Cross multiply
    123,432x = 186,879 × 186,879
  4. Step 4: Simplify right side
    123,432x = 34,923,760,641
  5. Step 5: Solve for x
    x = 34,923,760,641/123,432
  6. Step 6: Final answer
    x = 282,939.28

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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.