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Finding the Third Proportional to 413,505.50 and 890,367.25

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Solution

The third proportional to 413,505.50 and 890,367.25 is: 1,917,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,505.50 : 890,367.25 = 890,367.25 : x
  2. Step 2: Convert to fraction form
    413,505.50/890,367.25 = 890,367.25/x
  3. Step 3: Cross multiply
    413,505.50x = 890,367.25 × 890,367.25
  4. Step 4: Simplify right side
    413,505.50x = 792,753,839,872.56
  5. Step 5: Solve for x
    x = 792,753,839,872.56/413,505.50
  6. Step 6: Final answer
    x = 1,917,154.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.