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Finding the Third Proportional to 218,580 and 480,036

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Solution

The third proportional to 218,580 and 480,036 is: 1,054,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,580 : 480,036 = 480,036 : x
  2. Step 2: Convert to fraction form
    218,580/480,036 = 480,036/x
  3. Step 3: Cross multiply
    218,580x = 480,036 × 480,036
  4. Step 4: Simplify right side
    218,580x = 230,434,561,296
  5. Step 5: Solve for x
    x = 230,434,561,296/218,580
  6. Step 6: Final answer
    x = 1,054,234.43

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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.