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Finding the Third Proportional to 90,311 and 140,637

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Solution

The third proportional to 90,311 and 140,637 is: 219,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,311 : 140,637 = 140,637 : x
  2. Step 2: Convert to fraction form
    90,311/140,637 = 140,637/x
  3. Step 3: Cross multiply
    90,311x = 140,637 × 140,637
  4. Step 4: Simplify right side
    90,311x = 19,778,765,769
  5. Step 5: Solve for x
    x = 19,778,765,769/90,311
  6. Step 6: Final answer
    x = 219,007.27

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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.