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Finding the Third Proportional to 262,880 and 411,843

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Solution

The third proportional to 262,880 and 411,843 is: 645,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,880 : 411,843 = 411,843 : x
  2. Step 2: Convert to fraction form
    262,880/411,843 = 411,843/x
  3. Step 3: Cross multiply
    262,880x = 411,843 × 411,843
  4. Step 4: Simplify right side
    262,880x = 169,614,656,649
  5. Step 5: Solve for x
    x = 169,614,656,649/262,880
  6. Step 6: Final answer
    x = 645,217.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.