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Finding the Third Proportional to 262,821 and 411,733

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Solution

The third proportional to 262,821 and 411,733 is: 645,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,821 : 411,733 = 411,733 : x
  2. Step 2: Convert to fraction form
    262,821/411,733 = 411,733/x
  3. Step 3: Cross multiply
    262,821x = 411,733 × 411,733
  4. Step 4: Simplify right side
    262,821x = 169,524,063,289
  5. Step 5: Solve for x
    x = 169,524,063,289/262,821
  6. Step 6: Final answer
    x = 645,017.19

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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.