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Finding the Third Proportional to 379,404 and 571,610.25

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Solution

The third proportional to 379,404 and 571,610.25 is: 861,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,404 : 571,610.25 = 571,610.25 : x
  2. Step 2: Convert to fraction form
    379,404/571,610.25 = 571,610.25/x
  3. Step 3: Cross multiply
    379,404x = 571,610.25 × 571,610.25
  4. Step 4: Simplify right side
    379,404x = 326,738,277,905.06
  5. Step 5: Solve for x
    x = 326,738,277,905.06/379,404
  6. Step 6: Final answer
    x = 861,188.28

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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.