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Finding the Third Proportional to 3,120,138 and 4,793,748.75

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Solution

The third proportional to 3,120,138 and 4,793,748.75 is: 7,365,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,138 : 4,793,748.75 = 4,793,748.75 : x
  2. Step 2: Convert to fraction form
    3,120,138/4,793,748.75 = 4,793,748.75/x
  3. Step 3: Cross multiply
    3,120,138x = 4,793,748.75 × 4,793,748.75
  4. Step 4: Simplify right side
    3,120,138x = 22,980,027,078,126.56
  5. Step 5: Solve for x
    x = 22,980,027,078,126.56/3,120,138
  6. Step 6: Final answer
    x = 7,365,067.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.