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Finding the Third Proportional to 228,420 and 502,398

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Solution

The third proportional to 228,420 and 502,398 is: 1,104,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,420 : 502,398 = 502,398 : x
  2. Step 2: Convert to fraction form
    228,420/502,398 = 502,398/x
  3. Step 3: Cross multiply
    228,420x = 502,398 × 502,398
  4. Step 4: Simplify right side
    228,420x = 252,403,750,404
  5. Step 5: Solve for x
    x = 252,403,750,404/228,420
  6. Step 6: Final answer
    x = 1,104,998.47

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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.