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Finding the Third Proportional to 212,126 and 457,446

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Solution

The third proportional to 212,126 and 457,446 is: 986,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,126 : 457,446 = 457,446 : x
  2. Step 2: Convert to fraction form
    212,126/457,446 = 457,446/x
  3. Step 3: Cross multiply
    212,126x = 457,446 × 457,446
  4. Step 4: Simplify right side
    212,126x = 209,256,842,916
  5. Step 5: Solve for x
    x = 209,256,842,916/212,126
  6. Step 6: Final answer
    x = 986,474.28

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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.