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Finding the Third Proportional to 384,780 and 843,441

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Solution

The third proportional to 384,780 and 843,441 is: 1,848,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,780 : 843,441 = 843,441 : x
  2. Step 2: Convert to fraction form
    384,780/843,441 = 843,441/x
  3. Step 3: Cross multiply
    384,780x = 843,441 × 843,441
  4. Step 4: Simplify right side
    384,780x = 711,392,720,481
  5. Step 5: Solve for x
    x = 711,392,720,481/384,780
  6. Step 6: Final answer
    x = 1,848,829.77

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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.