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Finding the Third Proportional to 379,415 and 571,625

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Solution

The third proportional to 379,415 and 571,625 is: 861,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,415 : 571,625 = 571,625 : x
  2. Step 2: Convert to fraction form
    379,415/571,625 = 571,625/x
  3. Step 3: Cross multiply
    379,415x = 571,625 × 571,625
  4. Step 4: Simplify right side
    379,415x = 326,755,140,625
  5. Step 5: Solve for x
    x = 326,755,140,625/379,415
  6. Step 6: Final answer
    x = 861,207.76

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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.