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Finding the Third Proportional to 289,350 and 633,868

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Solution

The third proportional to 289,350 and 633,868 is: 1,388,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,350 : 633,868 = 633,868 : x
  2. Step 2: Convert to fraction form
    289,350/633,868 = 633,868/x
  3. Step 3: Cross multiply
    289,350x = 633,868 × 633,868
  4. Step 4: Simplify right side
    289,350x = 401,788,641,424
  5. Step 5: Solve for x
    x = 401,788,641,424/289,350
  6. Step 6: Final answer
    x = 1,388,590.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.