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Finding the Third Proportional to 282,420 and 620,811

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Solution

The third proportional to 282,420 and 620,811 is: 1,364,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420 : 620,811 = 620,811 : x
  2. Step 2: Convert to fraction form
    282,420/620,811 = 620,811/x
  3. Step 3: Cross multiply
    282,420x = 620,811 × 620,811
  4. Step 4: Simplify right side
    282,420x = 385,406,297,721
  5. Step 5: Solve for x
    x = 385,406,297,721/282,420
  6. Step 6: Final answer
    x = 1,364,656.53

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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.