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Finding the Third Proportional to 282,422 and 620,817

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Solution

The third proportional to 282,422 and 620,817 is: 1,364,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,422 : 620,817 = 620,817 : x
  2. Step 2: Convert to fraction form
    282,422/620,817 = 620,817/x
  3. Step 3: Cross multiply
    282,422x = 620,817 × 620,817
  4. Step 4: Simplify right side
    282,422x = 385,413,747,489
  5. Step 5: Solve for x
    x = 385,413,747,489/282,422
  6. Step 6: Final answer
    x = 1,364,673.25

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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.