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Finding the Third Proportional to 220,028 and 482,130

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Solution

The third proportional to 220,028 and 482,130 is: 1,056,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,028 : 482,130 = 482,130 : x
  2. Step 2: Convert to fraction form
    220,028/482,130 = 482,130/x
  3. Step 3: Cross multiply
    220,028x = 482,130 × 482,130
  4. Step 4: Simplify right side
    220,028x = 232,449,336,900
  5. Step 5: Solve for x
    x = 232,449,336,900/220,028
  6. Step 6: Final answer
    x = 1,056,453.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.