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Finding the Third Proportional to 379,619 and 571,913

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Solution

The third proportional to 379,619 and 571,913 is: 861,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,619 : 571,913 = 571,913 : x
  2. Step 2: Convert to fraction form
    379,619/571,913 = 571,913/x
  3. Step 3: Cross multiply
    379,619x = 571,913 × 571,913
  4. Step 4: Simplify right side
    379,619x = 327,084,479,569
  5. Step 5: Solve for x
    x = 327,084,479,569/379,619
  6. Step 6: Final answer
    x = 861,612.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.