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Finding the Third Proportional to 228,720 and 503,976

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Solution

The third proportional to 228,720 and 503,976 is: 1,110,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,720 : 503,976 = 503,976 : x
  2. Step 2: Convert to fraction form
    228,720/503,976 = 503,976/x
  3. Step 3: Cross multiply
    228,720x = 503,976 × 503,976
  4. Step 4: Simplify right side
    228,720x = 253,991,808,576
  5. Step 5: Solve for x
    x = 253,991,808,576/228,720
  6. Step 6: Final answer
    x = 1,110,492.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.