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Finding the Third Proportional to 222,964 and 480,758

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Solution

The third proportional to 222,964 and 480,758 is: 1,036,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,964 : 480,758 = 480,758 : x
  2. Step 2: Convert to fraction form
    222,964/480,758 = 480,758/x
  3. Step 3: Cross multiply
    222,964x = 480,758 × 480,758
  4. Step 4: Simplify right side
    222,964x = 231,128,254,564
  5. Step 5: Solve for x
    x = 231,128,254,564/222,964
  6. Step 6: Final answer
    x = 1,036,616.92

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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.