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Finding the Third Proportional to 212,107.25 and 457,424.38

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Solution

The third proportional to 212,107.25 and 457,424.38 is: 986,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,107.25 : 457,424.38 = 457,424.38 : x
  2. Step 2: Convert to fraction form
    212,107.25/457,424.38 = 457,424.38/x
  3. Step 3: Cross multiply
    212,107.25x = 457,424.38 × 457,424.38
  4. Step 4: Simplify right side
    212,107.25x = 209,237,058,844.14
  5. Step 5: Solve for x
    x = 209,237,058,844.14/212,107.25
  6. Step 6: Final answer
    x = 986,468.21

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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.