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Finding the Third Proportional to 305,854 and 633,212

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Solution

The third proportional to 305,854 and 633,212 is: 1,310,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,854 : 633,212 = 633,212 : x
  2. Step 2: Convert to fraction form
    305,854/633,212 = 633,212/x
  3. Step 3: Cross multiply
    305,854x = 633,212 × 633,212
  4. Step 4: Simplify right side
    305,854x = 400,957,436,944
  5. Step 5: Solve for x
    x = 400,957,436,944/305,854
  6. Step 6: Final answer
    x = 1,310,943.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.