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Finding the Third Proportional to 212,129 and 457,451

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Solution

The third proportional to 212,129 and 457,451 is: 986,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,129 : 457,451 = 457,451 : x
  2. Step 2: Convert to fraction form
    212,129/457,451 = 457,451/x
  3. Step 3: Cross multiply
    212,129x = 457,451 × 457,451
  4. Step 4: Simplify right side
    212,129x = 209,261,417,401
  5. Step 5: Solve for x
    x = 209,261,417,401/212,129
  6. Step 6: Final answer
    x = 986,481.89

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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.