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Finding the Third Proportional to 119,602.13 and 192,709.69

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Solution

The third proportional to 119,602.13 and 192,709.69 is: 310,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,602.13 : 192,709.69 = 192,709.69 : x
  2. Step 2: Convert to fraction form
    119,602.13/192,709.69 = 192,709.69/x
  3. Step 3: Cross multiply
    119,602.13x = 192,709.69 × 192,709.69
  4. Step 4: Simplify right side
    119,602.13x = 37,137,023,656.35
  5. Step 5: Solve for x
    x = 37,137,023,656.35/119,602.13
  6. Step 6: Final answer
    x = 310,504.71

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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.