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Finding the Third Proportional to 282,405 and 621,672

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Solution

The third proportional to 282,405 and 621,672 is: 1,368,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,405 : 621,672 = 621,672 : x
  2. Step 2: Convert to fraction form
    282,405/621,672 = 621,672/x
  3. Step 3: Cross multiply
    282,405x = 621,672 × 621,672
  4. Step 4: Simplify right side
    282,405x = 386,476,075,584
  5. Step 5: Solve for x
    x = 386,476,075,584/282,405
  6. Step 6: Final answer
    x = 1,368,517.11

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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.