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Finding the Third Proportional to 275,220 and 557,834

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Solution

The third proportional to 275,220 and 557,834 is: 1,130,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220 : 557,834 = 557,834 : x
  2. Step 2: Convert to fraction form
    275,220/557,834 = 557,834/x
  3. Step 3: Cross multiply
    275,220x = 557,834 × 557,834
  4. Step 4: Simplify right side
    275,220x = 311,178,771,556
  5. Step 5: Solve for x
    x = 311,178,771,556/275,220
  6. Step 6: Final answer
    x = 1,130,654.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.