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Finding the Third Proportional to 192,207.94 and 420,609.38

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Solution

The third proportional to 192,207.94 and 420,609.38 is: 920,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,207.94 : 420,609.38 = 420,609.38 : x
  2. Step 2: Convert to fraction form
    192,207.94/420,609.38 = 420,609.38/x
  3. Step 3: Cross multiply
    192,207.94x = 420,609.38 × 420,609.38
  4. Step 4: Simplify right side
    192,207.94x = 176,912,246,337.89
  5. Step 5: Solve for x
    x = 176,912,246,337.89/192,207.94
  6. Step 6: Final answer
    x = 920,421.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.