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Finding the Third Proportional to 282,392 and 620,944

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Solution

The third proportional to 282,392 and 620,944 is: 1,365,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,392 : 620,944 = 620,944 : x
  2. Step 2: Convert to fraction form
    282,392/620,944 = 620,944/x
  3. Step 3: Cross multiply
    282,392x = 620,944 × 620,944
  4. Step 4: Simplify right side
    282,392x = 385,571,451,136
  5. Step 5: Solve for x
    x = 385,571,451,136/282,392
  6. Step 6: Final answer
    x = 1,365,376.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.