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Finding the Third Proportional to 212,680 and 447,392

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Solution

The third proportional to 212,680 and 447,392 is: 941,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,680 : 447,392 = 447,392 : x
  2. Step 2: Convert to fraction form
    212,680/447,392 = 447,392/x
  3. Step 3: Cross multiply
    212,680x = 447,392 × 447,392
  4. Step 4: Simplify right side
    212,680x = 200,159,601,664
  5. Step 5: Solve for x
    x = 200,159,601,664/212,680
  6. Step 6: Final answer
    x = 941,130.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.