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Finding the Third Proportional to 282,412 and 620,802

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Solution

The third proportional to 282,412 and 620,802 is: 1,364,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,412 : 620,802 = 620,802 : x
  2. Step 2: Convert to fraction form
    282,412/620,802 = 620,802/x
  3. Step 3: Cross multiply
    282,412x = 620,802 × 620,802
  4. Step 4: Simplify right side
    282,412x = 385,395,123,204
  5. Step 5: Solve for x
    x = 385,395,123,204/282,412
  6. Step 6: Final answer
    x = 1,364,655.62

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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.