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Finding the Third Proportional to 223,809 and 480,747

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Solution

The third proportional to 223,809 and 480,747 is: 1,032,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,809 : 480,747 = 480,747 : x
  2. Step 2: Convert to fraction form
    223,809/480,747 = 480,747/x
  3. Step 3: Cross multiply
    223,809x = 480,747 × 480,747
  4. Step 4: Simplify right side
    223,809x = 231,117,678,009
  5. Step 5: Solve for x
    x = 231,117,678,009/223,809
  6. Step 6: Final answer
    x = 1,032,655.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.