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Finding the Third Proportional to 57,727.69 and 121,991.06

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Solution

The third proportional to 57,727.69 and 121,991.06 is: 257,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727.69 : 121,991.06 = 121,991.06 : x
  2. Step 2: Convert to fraction form
    57,727.69/121,991.06 = 121,991.06/x
  3. Step 3: Cross multiply
    57,727.69x = 121,991.06 × 121,991.06
  4. Step 4: Simplify right side
    57,727.69x = 14,881,819,329.88
  5. Step 5: Solve for x
    x = 14,881,819,329.88/57,727.69
  6. Step 6: Final answer
    x = 257,793.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.