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Finding the Third Proportional to 228,397 and 491,789

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Solution

The third proportional to 228,397 and 491,789 is: 1,058,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,397 : 491,789 = 491,789 : x
  2. Step 2: Convert to fraction form
    228,397/491,789 = 491,789/x
  3. Step 3: Cross multiply
    228,397x = 491,789 × 491,789
  4. Step 4: Simplify right side
    228,397x = 241,856,420,521
  5. Step 5: Solve for x
    x = 241,856,420,521/228,397
  6. Step 6: Final answer
    x = 1,058,929.94

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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.