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Finding the Third Proportional to 262,826 and 411,740

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Solution

The third proportional to 262,826 and 411,740 is: 645,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,826 : 411,740 = 411,740 : x
  2. Step 2: Convert to fraction form
    262,826/411,740 = 411,740/x
  3. Step 3: Cross multiply
    262,826x = 411,740 × 411,740
  4. Step 4: Simplify right side
    262,826x = 169,529,827,600
  5. Step 5: Solve for x
    x = 169,529,827,600/262,826
  6. Step 6: Final answer
    x = 645,026.85

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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.