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Finding the Third Proportional to 387,144 and 809,772

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Solution

The third proportional to 387,144 and 809,772 is: 1,693,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,144 : 809,772 = 809,772 : x
  2. Step 2: Convert to fraction form
    387,144/809,772 = 809,772/x
  3. Step 3: Cross multiply
    387,144x = 809,772 × 809,772
  4. Step 4: Simplify right side
    387,144x = 655,730,691,984
  5. Step 5: Solve for x
    x = 655,730,691,984/387,144
  6. Step 6: Final answer
    x = 1,693,764.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.