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Finding the Third Proportional to 391,168 and 587,616

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Solution

The third proportional to 391,168 and 587,616 is: 882,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,168 : 587,616 = 587,616 : x
  2. Step 2: Convert to fraction form
    391,168/587,616 = 587,616/x
  3. Step 3: Cross multiply
    391,168x = 587,616 × 587,616
  4. Step 4: Simplify right side
    391,168x = 345,292,563,456
  5. Step 5: Solve for x
    x = 345,292,563,456/391,168
  6. Step 6: Final answer
    x = 882,721.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.