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Finding the Third Proportional to 223,804 and 497,336

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Solution

The third proportional to 223,804 and 497,336 is: 1,105,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,804 : 497,336 = 497,336 : x
  2. Step 2: Convert to fraction form
    223,804/497,336 = 497,336/x
  3. Step 3: Cross multiply
    223,804x = 497,336 × 497,336
  4. Step 4: Simplify right side
    223,804x = 247,343,096,896
  5. Step 5: Solve for x
    x = 247,343,096,896/223,804
  6. Step 6: Final answer
    x = 1,105,177.28

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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.