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Finding the Third Proportional to 90,786 and 140,007

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Solution

The third proportional to 90,786 and 140,007 is: 215,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,786 : 140,007 = 140,007 : x
  2. Step 2: Convert to fraction form
    90,786/140,007 = 140,007/x
  3. Step 3: Cross multiply
    90,786x = 140,007 × 140,007
  4. Step 4: Simplify right side
    90,786x = 19,601,960,049
  5. Step 5: Solve for x
    x = 19,601,960,049/90,786
  6. Step 6: Final answer
    x = 215,913.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.