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Finding the Third Proportional to 212,112 and 457,436

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Solution

The third proportional to 212,112 and 457,436 is: 986,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,112 : 457,436 = 457,436 : x
  2. Step 2: Convert to fraction form
    212,112/457,436 = 457,436/x
  3. Step 3: Cross multiply
    212,112x = 457,436 × 457,436
  4. Step 4: Simplify right side
    212,112x = 209,247,694,096
  5. Step 5: Solve for x
    x = 209,247,694,096/212,112
  6. Step 6: Final answer
    x = 986,496.26

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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.