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Finding the Third Proportional to 273,820 and 551,710

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Solution

The third proportional to 273,820 and 551,710 is: 1,111,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,820 : 551,710 = 551,710 : x
  2. Step 2: Convert to fraction form
    273,820/551,710 = 551,710/x
  3. Step 3: Cross multiply
    273,820x = 551,710 × 551,710
  4. Step 4: Simplify right side
    273,820x = 304,383,924,100
  5. Step 5: Solve for x
    x = 304,383,924,100/273,820
  6. Step 6: Final answer
    x = 1,111,620.50

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.