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Finding the Third Proportional to 384,224 and 843,180

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Solution

The third proportional to 384,224 and 843,180 is: 1,850,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,224 : 843,180 = 843,180 : x
  2. Step 2: Convert to fraction form
    384,224/843,180 = 843,180/x
  3. Step 3: Cross multiply
    384,224x = 843,180 × 843,180
  4. Step 4: Simplify right side
    384,224x = 710,952,512,400
  5. Step 5: Solve for x
    x = 710,952,512,400/384,224
  6. Step 6: Final answer
    x = 1,850,359.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.