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Finding the Third Proportional to 402,208 and 843,584

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Solution

The third proportional to 402,208 and 843,584 is: 1,769,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,208 : 843,584 = 843,584 : x
  2. Step 2: Convert to fraction form
    402,208/843,584 = 843,584/x
  3. Step 3: Cross multiply
    402,208x = 843,584 × 843,584
  4. Step 4: Simplify right side
    402,208x = 711,633,965,056
  5. Step 5: Solve for x
    x = 711,633,965,056/402,208
  6. Step 6: Final answer
    x = 1,769,318.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.