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Finding the Third Proportional to 77,709.75 and 91,902.75

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Solution

The third proportional to 77,709.75 and 91,902.75 is: 108,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.75 : 91,902.75 = 91,902.75 : x
  2. Step 2: Convert to fraction form
    77,709.75/91,902.75 = 91,902.75/x
  3. Step 3: Cross multiply
    77,709.75x = 91,902.75 × 91,902.75
  4. Step 4: Simplify right side
    77,709.75x = 8,446,115,457.56
  5. Step 5: Solve for x
    x = 8,446,115,457.56/77,709.75
  6. Step 6: Final answer
    x = 108,687.98

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.