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Finding the Third Proportional to 90,083 and 140,228

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Solution

The third proportional to 90,083 and 140,228 is: 218,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,083 : 140,228 = 140,228 : x
  2. Step 2: Convert to fraction form
    90,083/140,228 = 140,228/x
  3. Step 3: Cross multiply
    90,083x = 140,228 × 140,228
  4. Step 4: Simplify right side
    90,083x = 19,663,891,984
  5. Step 5: Solve for x
    x = 19,663,891,984/90,083
  6. Step 6: Final answer
    x = 218,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.