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Finding the Third Proportional to 411,430 and 545,923

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Solution

The third proportional to 411,430 and 545,923 is: 724,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,430 : 545,923 = 545,923 : x
  2. Step 2: Convert to fraction form
    411,430/545,923 = 545,923/x
  3. Step 3: Cross multiply
    411,430x = 545,923 × 545,923
  4. Step 4: Simplify right side
    411,430x = 298,031,921,929
  5. Step 5: Solve for x
    x = 298,031,921,929/411,430
  6. Step 6: Final answer
    x = 724,380.63

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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.