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Finding the Third Proportional to 228,404 and 491,803

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Solution

The third proportional to 228,404 and 491,803 is: 1,058,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,404 : 491,803 = 491,803 : x
  2. Step 2: Convert to fraction form
    228,404/491,803 = 491,803/x
  3. Step 3: Cross multiply
    228,404x = 491,803 × 491,803
  4. Step 4: Simplify right side
    228,404x = 241,870,190,809
  5. Step 5: Solve for x
    x = 241,870,190,809/228,404
  6. Step 6: Final answer
    x = 1,058,957.77

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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.