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Finding the Third Proportional to 212,120.44 and 457,433.44

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Solution

The third proportional to 212,120.44 and 457,433.44 is: 986,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,120.44 : 457,433.44 = 457,433.44 : x
  2. Step 2: Convert to fraction form
    212,120.44/457,433.44 = 457,433.44/x
  3. Step 3: Cross multiply
    212,120.44x = 457,433.44 × 457,433.44
  4. Step 4: Simplify right side
    212,120.44x = 209,245,349,743.07
  5. Step 5: Solve for x
    x = 209,245,349,743.07/212,120.44
  6. Step 6: Final answer
    x = 986,445.97

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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.