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Finding the Third Proportional to 642,879 and 1,396,590.75

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Solution

The third proportional to 642,879 and 1,396,590.75 is: 3,033,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,879 : 1,396,590.75 = 1,396,590.75 : x
  2. Step 2: Convert to fraction form
    642,879/1,396,590.75 = 1,396,590.75/x
  3. Step 3: Cross multiply
    642,879x = 1,396,590.75 × 1,396,590.75
  4. Step 4: Simplify right side
    642,879x = 1,950,465,722,985.56
  5. Step 5: Solve for x
    x = 1,950,465,722,985.56/642,879
  6. Step 6: Final answer
    x = 3,033,954.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.