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Finding the Third Proportional to 632,891 and 1,289,281

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Solution

The third proportional to 632,891 and 1,289,281 is: 2,626,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,891 : 1,289,281 = 1,289,281 : x
  2. Step 2: Convert to fraction form
    632,891/1,289,281 = 1,289,281/x
  3. Step 3: Cross multiply
    632,891x = 1,289,281 × 1,289,281
  4. Step 4: Simplify right side
    632,891x = 1,662,245,496,961
  5. Step 5: Solve for x
    x = 1,662,245,496,961/632,891
  6. Step 6: Final answer
    x = 2,626,432.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.