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Finding the Third Proportional to 222,132.38 and 479,725.03

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Solution

The third proportional to 222,132.38 and 479,725.03 is: 1,036,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,132.38 : 479,725.03 = 479,725.03 : x
  2. Step 2: Convert to fraction form
    222,132.38/479,725.03 = 479,725.03/x
  3. Step 3: Cross multiply
    222,132.38x = 479,725.03 × 479,725.03
  4. Step 4: Simplify right side
    222,132.38x = 230,136,105,607.81
  5. Step 5: Solve for x
    x = 230,136,105,607.81/222,132.38
  6. Step 6: Final answer
    x = 1,036,031.36

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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.