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Finding the Third Proportional to 252,733 and 551,777.75

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Solution

The third proportional to 252,733 and 551,777.75 is: 1,204,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,733 : 551,777.75 = 551,777.75 : x
  2. Step 2: Convert to fraction form
    252,733/551,777.75 = 551,777.75/x
  3. Step 3: Cross multiply
    252,733x = 551,777.75 × 551,777.75
  4. Step 4: Simplify right side
    252,733x = 304,458,685,395.06
  5. Step 5: Solve for x
    x = 304,458,685,395.06/252,733
  6. Step 6: Final answer
    x = 1,204,665.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.