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Finding the Third Proportional to 212,622 and 455,772

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Solution

The third proportional to 212,622 and 455,772 is: 976,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,622 : 455,772 = 455,772 : x
  2. Step 2: Convert to fraction form
    212,622/455,772 = 455,772/x
  3. Step 3: Cross multiply
    212,622x = 455,772 × 455,772
  4. Step 4: Simplify right side
    212,622x = 207,728,115,984
  5. Step 5: Solve for x
    x = 207,728,115,984/212,622
  6. Step 6: Final answer
    x = 976,983.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.