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Finding the Third Proportional to 30,854,939 and 65,810,503

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Solution

The third proportional to 30,854,939 and 65,810,503 is: 140,367,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,939 : 65,810,503 = 65,810,503 : x
  2. Step 2: Convert to fraction form
    30,854,939/65,810,503 = 65,810,503/x
  3. Step 3: Cross multiply
    30,854,939x = 65,810,503 × 65,810,503
  4. Step 4: Simplify right side
    30,854,939x = 4,331,022,305,113,009
  5. Step 5: Solve for x
    x = 4,331,022,305,113,009/30,854,939
  6. Step 6: Final answer
    x = 140,367,229.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.