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Finding the Third Proportional to 275,349 and 565,521

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Solution

The third proportional to 275,349 and 565,521 is: 1,161,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,349 : 565,521 = 565,521 : x
  2. Step 2: Convert to fraction form
    275,349/565,521 = 565,521/x
  3. Step 3: Cross multiply
    275,349x = 565,521 × 565,521
  4. Step 4: Simplify right side
    275,349x = 319,814,001,441
  5. Step 5: Solve for x
    x = 319,814,001,441/275,349
  6. Step 6: Final answer
    x = 1,161,485.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.