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Finding the Third Proportional to 411,972 and 551,782

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Solution

The third proportional to 411,972 and 551,782 is: 739,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,972 : 551,782 = 551,782 : x
  2. Step 2: Convert to fraction form
    411,972/551,782 = 551,782/x
  3. Step 3: Cross multiply
    411,972x = 551,782 × 551,782
  4. Step 4: Simplify right side
    411,972x = 304,463,375,524
  5. Step 5: Solve for x
    x = 304,463,375,524/411,972
  6. Step 6: Final answer
    x = 739,039.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.