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Finding the Third Proportional to 223,802 and 497,332

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Solution

The third proportional to 223,802 and 497,332 is: 1,105,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,802 : 497,332 = 497,332 : x
  2. Step 2: Convert to fraction form
    223,802/497,332 = 497,332/x
  3. Step 3: Cross multiply
    223,802x = 497,332 × 497,332
  4. Step 4: Simplify right side
    223,802x = 247,339,118,224
  5. Step 5: Solve for x
    x = 247,339,118,224/223,802
  6. Step 6: Final answer
    x = 1,105,169.38

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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.