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Finding the Third Proportional to 86,967 and 139,881

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Solution

The third proportional to 86,967 and 139,881 is: 224,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 139,881 = 139,881 : x
  2. Step 2: Convert to fraction form
    86,967/139,881 = 139,881/x
  3. Step 3: Cross multiply
    86,967x = 139,881 × 139,881
  4. Step 4: Simplify right side
    86,967x = 19,566,694,161
  5. Step 5: Solve for x
    x = 19,566,694,161/86,967
  6. Step 6: Final answer
    x = 224,989.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.