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Finding the Third Proportional to 228,384 and 491,688

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Solution

The third proportional to 228,384 and 491,688 is: 1,058,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,384 : 491,688 = 491,688 : x
  2. Step 2: Convert to fraction form
    228,384/491,688 = 491,688/x
  3. Step 3: Cross multiply
    228,384x = 491,688 × 491,688
  4. Step 4: Simplify right side
    228,384x = 241,757,089,344
  5. Step 5: Solve for x
    x = 241,757,089,344/228,384
  6. Step 6: Final answer
    x = 1,058,555.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.