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Finding the Third Proportional to 222,428 and 463,288

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Solution

The third proportional to 222,428 and 463,288 is: 964,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428 : 463,288 = 463,288 : x
  2. Step 2: Convert to fraction form
    222,428/463,288 = 463,288/x
  3. Step 3: Cross multiply
    222,428x = 463,288 × 463,288
  4. Step 4: Simplify right side
    222,428x = 214,635,770,944
  5. Step 5: Solve for x
    x = 214,635,770,944/222,428
  6. Step 6: Final answer
    x = 964,967.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.