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Finding the Third Proportional to 81,651.75 and 117,009.75

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Solution

The third proportional to 81,651.75 and 117,009.75 is: 167,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.75 : 117,009.75 = 117,009.75 : x
  2. Step 2: Convert to fraction form
    81,651.75/117,009.75 = 117,009.75/x
  3. Step 3: Cross multiply
    81,651.75x = 117,009.75 × 117,009.75
  4. Step 4: Simplify right side
    81,651.75x = 13,691,281,595.06
  5. Step 5: Solve for x
    x = 13,691,281,595.06/81,651.75
  6. Step 6: Final answer
    x = 167,678.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.