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Finding the Third Proportional to 411,422 and 545,910

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Solution

The third proportional to 411,422 and 545,910 is: 724,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,422 : 545,910 = 545,910 : x
  2. Step 2: Convert to fraction form
    411,422/545,910 = 545,910/x
  3. Step 3: Cross multiply
    411,422x = 545,910 × 545,910
  4. Step 4: Simplify right side
    411,422x = 298,017,728,100
  5. Step 5: Solve for x
    x = 298,017,728,100/411,422
  6. Step 6: Final answer
    x = 724,360.21

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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.