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Finding the Third Proportional to 129,585.94 and 193,379.63

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Solution

The third proportional to 129,585.94 and 193,379.63 is: 288,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,585.94 : 193,379.63 = 193,379.63 : x
  2. Step 2: Convert to fraction form
    129,585.94/193,379.63 = 193,379.63/x
  3. Step 3: Cross multiply
    129,585.94x = 193,379.63 × 193,379.63
  4. Step 4: Simplify right side
    129,585.94x = 37,395,679,365.14
  5. Step 5: Solve for x
    x = 37,395,679,365.14/129,585.94
  6. Step 6: Final answer
    x = 288,578.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.