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Finding the Third Proportional to 3,193,782 and 4,789,497

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Solution

The third proportional to 3,193,782 and 4,789,497 is: 7,182,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,782 : 4,789,497 = 4,789,497 : x
  2. Step 2: Convert to fraction form
    3,193,782/4,789,497 = 4,789,497/x
  3. Step 3: Cross multiply
    3,193,782x = 4,789,497 × 4,789,497
  4. Step 4: Simplify right side
    3,193,782x = 22,939,281,513,009
  5. Step 5: Solve for x
    x = 22,939,281,513,009/3,193,782
  6. Step 6: Final answer
    x = 7,182,481.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.