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Finding the Third Proportional to 261,786.94 and 420,013.69

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Solution

The third proportional to 261,786.94 and 420,013.69 is: 673,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,786.94 : 420,013.69 = 420,013.69 : x
  2. Step 2: Convert to fraction form
    261,786.94/420,013.69 = 420,013.69/x
  3. Step 3: Cross multiply
    261,786.94x = 420,013.69 × 420,013.69
  4. Step 4: Simplify right side
    261,786.94x = 176,411,497,687.35
  5. Step 5: Solve for x
    x = 176,411,497,687.35/261,786.94
  6. Step 6: Final answer
    x = 673,874.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.