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Finding the Third Proportional to 81,577.50 and 114,881

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Solution

The third proportional to 81,577.50 and 114,881 is: 161,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,577.50 : 114,881 = 114,881 : x
  2. Step 2: Convert to fraction form
    81,577.50/114,881 = 114,881/x
  3. Step 3: Cross multiply
    81,577.50x = 114,881 × 114,881
  4. Step 4: Simplify right side
    81,577.50x = 13,197,644,161
  5. Step 5: Solve for x
    x = 13,197,644,161/81,577.50
  6. Step 6: Final answer
    x = 161,780.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.