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Finding the Third Proportional to 81,564.50 and 114,863

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Solution

The third proportional to 81,564.50 and 114,863 is: 161,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564.50 : 114,863 = 114,863 : x
  2. Step 2: Convert to fraction form
    81,564.50/114,863 = 114,863/x
  3. Step 3: Cross multiply
    81,564.50x = 114,863 × 114,863
  4. Step 4: Simplify right side
    81,564.50x = 13,193,508,769
  5. Step 5: Solve for x
    x = 13,193,508,769/81,564.50
  6. Step 6: Final answer
    x = 161,755.53

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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.