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Finding the Third Proportional to 222,140 and 479,760

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Solution

The third proportional to 222,140 and 479,760 is: 1,036,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,140 : 479,760 = 479,760 : x
  2. Step 2: Convert to fraction form
    222,140/479,760 = 479,760/x
  3. Step 3: Cross multiply
    222,140x = 479,760 × 479,760
  4. Step 4: Simplify right side
    222,140x = 230,169,657,600
  5. Step 5: Solve for x
    x = 230,169,657,600/222,140
  6. Step 6: Final answer
    x = 1,036,146.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.