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Finding the Third Proportional to 423,510 and 881,868

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Solution

The third proportional to 423,510 and 881,868 is: 1,836,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,510 : 881,868 = 881,868 : x
  2. Step 2: Convert to fraction form
    423,510/881,868 = 881,868/x
  3. Step 3: Cross multiply
    423,510x = 881,868 × 881,868
  4. Step 4: Simplify right side
    423,510x = 777,691,169,424
  5. Step 5: Solve for x
    x = 777,691,169,424/423,510
  6. Step 6: Final answer
    x = 1,836,299.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.