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Finding the Third Proportional to 131,609.81 and 211,949.16

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Solution

The third proportional to 131,609.81 and 211,949.16 is: 341,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,609.81 : 211,949.16 = 211,949.16 : x
  2. Step 2: Convert to fraction form
    131,609.81/211,949.16 = 211,949.16/x
  3. Step 3: Cross multiply
    131,609.81x = 211,949.16 × 211,949.16
  4. Step 4: Simplify right side
    131,609.81x = 44,922,444,835.09
  5. Step 5: Solve for x
    x = 44,922,444,835.09/131,609.81
  6. Step 6: Final answer
    x = 341,330.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.