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Finding the Third Proportional to 402,224 and 843,616

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Solution

The third proportional to 402,224 and 843,616 is: 1,769,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,224 : 843,616 = 843,616 : x
  2. Step 2: Convert to fraction form
    402,224/843,616 = 843,616/x
  3. Step 3: Cross multiply
    402,224x = 843,616 × 843,616
  4. Step 4: Simplify right side
    402,224x = 711,687,955,456
  5. Step 5: Solve for x
    x = 711,687,955,456/402,224
  6. Step 6: Final answer
    x = 1,769,382.12

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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.