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Finding the Third Proportional to 411,426 and 545,916

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Solution

The third proportional to 411,426 and 545,916 is: 724,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,426 : 545,916 = 545,916 : x
  2. Step 2: Convert to fraction form
    411,426/545,916 = 545,916/x
  3. Step 3: Cross multiply
    411,426x = 545,916 × 545,916
  4. Step 4: Simplify right side
    411,426x = 298,024,279,056
  5. Step 5: Solve for x
    x = 298,024,279,056/411,426
  6. Step 6: Final answer
    x = 724,369.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.