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Finding the Third Proportional to 222,995 and 480,982

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Solution

The third proportional to 222,995 and 480,982 is: 1,037,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,995 : 480,982 = 480,982 : x
  2. Step 2: Convert to fraction form
    222,995/480,982 = 480,982/x
  3. Step 3: Cross multiply
    222,995x = 480,982 × 480,982
  4. Step 4: Simplify right side
    222,995x = 231,343,684,324
  5. Step 5: Solve for x
    x = 231,343,684,324/222,995
  6. Step 6: Final answer
    x = 1,037,438.89

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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.