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Finding the Third Proportional to 222,426 and 463,284

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Solution

The third proportional to 222,426 and 463,284 is: 964,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,426 : 463,284 = 463,284 : x
  2. Step 2: Convert to fraction form
    222,426/463,284 = 463,284/x
  3. Step 3: Cross multiply
    222,426x = 463,284 × 463,284
  4. Step 4: Simplify right side
    222,426x = 214,632,064,656
  5. Step 5: Solve for x
    x = 214,632,064,656/222,426
  6. Step 6: Final answer
    x = 964,959.42

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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.