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Finding the Third Proportional to 67,890 and 146,228

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Solution

The third proportional to 67,890 and 146,228 is: 314,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,890 : 146,228 = 146,228 : x
  2. Step 2: Convert to fraction form
    67,890/146,228 = 146,228/x
  3. Step 3: Cross multiply
    67,890x = 146,228 × 146,228
  4. Step 4: Simplify right side
    67,890x = 21,382,627,984
  5. Step 5: Solve for x
    x = 21,382,627,984/67,890
  6. Step 6: Final answer
    x = 314,959.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.