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Finding the Third Proportional to 411,976 and 551,788

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Solution

The third proportional to 411,976 and 551,788 is: 739,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,976 : 551,788 = 551,788 : x
  2. Step 2: Convert to fraction form
    411,976/551,788 = 551,788/x
  3. Step 3: Cross multiply
    411,976x = 551,788 × 551,788
  4. Step 4: Simplify right side
    411,976x = 304,469,996,944
  5. Step 5: Solve for x
    x = 304,469,996,944/411,976
  6. Step 6: Final answer
    x = 739,047.90

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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.