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Finding the Third Proportional to 55,689.19 and 131,329.69

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Solution

The third proportional to 55,689.19 and 131,329.69 is: 309,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689.19 : 131,329.69 = 131,329.69 : x
  2. Step 2: Convert to fraction form
    55,689.19/131,329.69 = 131,329.69/x
  3. Step 3: Cross multiply
    55,689.19x = 131,329.69 × 131,329.69
  4. Step 4: Simplify right side
    55,689.19x = 17,247,486,818.85
  5. Step 5: Solve for x
    x = 17,247,486,818.85/55,689.19
  6. Step 6: Final answer
    x = 309,709.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.