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Finding the Third Proportional to 212,132 and 457,474

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Solution

The third proportional to 212,132 and 457,474 is: 986,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,132 : 457,474 = 457,474 : x
  2. Step 2: Convert to fraction form
    212,132/457,474 = 457,474/x
  3. Step 3: Cross multiply
    212,132x = 457,474 × 457,474
  4. Step 4: Simplify right side
    212,132x = 209,282,460,676
  5. Step 5: Solve for x
    x = 209,282,460,676/212,132
  6. Step 6: Final answer
    x = 986,567.14

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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.