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Finding the Third Proportional to 289,914.19 and 442,369.69

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Solution

The third proportional to 289,914.19 and 442,369.69 is: 674,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,914.19 : 442,369.69 = 442,369.69 : x
  2. Step 2: Convert to fraction form
    289,914.19/442,369.69 = 442,369.69/x
  3. Step 3: Cross multiply
    289,914.19x = 442,369.69 × 442,369.69
  4. Step 4: Simplify right side
    289,914.19x = 195,690,940,418.85
  5. Step 5: Solve for x
    x = 195,690,940,418.85/289,914.19
  6. Step 6: Final answer
    x = 674,996.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.