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Finding the Third Proportional to 131,805.56 and 199,556.81

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Solution

The third proportional to 131,805.56 and 199,556.81 is: 302,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,805.56 : 199,556.81 = 199,556.81 : x
  2. Step 2: Convert to fraction form
    131,805.56/199,556.81 = 199,556.81/x
  3. Step 3: Cross multiply
    131,805.56x = 199,556.81 × 199,556.81
  4. Step 4: Simplify right side
    131,805.56x = 39,822,921,415.16
  5. Step 5: Solve for x
    x = 39,822,921,415.16/131,805.56
  6. Step 6: Final answer
    x = 302,133.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.