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Finding the Third Proportional to 69,212 and 90,881

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Solution

The third proportional to 69,212 and 90,881 is: 119,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,212 : 90,881 = 90,881 : x
  2. Step 2: Convert to fraction form
    69,212/90,881 = 90,881/x
  3. Step 3: Cross multiply
    69,212x = 90,881 × 90,881
  4. Step 4: Simplify right side
    69,212x = 8,259,356,161
  5. Step 5: Solve for x
    x = 8,259,356,161/69,212
  6. Step 6: Final answer
    x = 119,334.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.