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Finding the Third Proportional to 188,058 and 391,668

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Solution

The third proportional to 188,058 and 391,668 is: 815,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,058 : 391,668 = 391,668 : x
  2. Step 2: Convert to fraction form
    188,058/391,668 = 391,668/x
  3. Step 3: Cross multiply
    188,058x = 391,668 × 391,668
  4. Step 4: Simplify right side
    188,058x = 153,403,822,224
  5. Step 5: Solve for x
    x = 153,403,822,224/188,058
  6. Step 6: Final answer
    x = 815,726.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.