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Finding the Third Proportional to 282,414 and 620,806

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Solution

The third proportional to 282,414 and 620,806 is: 1,364,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,414 : 620,806 = 620,806 : x
  2. Step 2: Convert to fraction form
    282,414/620,806 = 620,806/x
  3. Step 3: Cross multiply
    282,414x = 620,806 × 620,806
  4. Step 4: Simplify right side
    282,414x = 385,400,089,636
  5. Step 5: Solve for x
    x = 385,400,089,636/282,414
  6. Step 6: Final answer
    x = 1,364,663.54

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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.