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Finding the Third Proportional to 223,800 and 497,328

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Solution

The third proportional to 223,800 and 497,328 is: 1,105,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,800 : 497,328 = 497,328 : x
  2. Step 2: Convert to fraction form
    223,800/497,328 = 497,328/x
  3. Step 3: Cross multiply
    223,800x = 497,328 × 497,328
  4. Step 4: Simplify right side
    223,800x = 247,335,139,584
  5. Step 5: Solve for x
    x = 247,335,139,584/223,800
  6. Step 6: Final answer
    x = 1,105,161.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.