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Finding the Third Proportional to 30,854,928 and 65,810,481

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Solution

The third proportional to 30,854,928 and 65,810,481 is: 140,367,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,928 : 65,810,481 = 65,810,481 : x
  2. Step 2: Convert to fraction form
    30,854,928/65,810,481 = 65,810,481/x
  3. Step 3: Cross multiply
    30,854,928x = 65,810,481 × 65,810,481
  4. Step 4: Simplify right side
    30,854,928x = 4,331,019,409,451,361
  5. Step 5: Solve for x
    x = 4,331,019,409,451,361/30,854,928
  6. Step 6: Final answer
    x = 140,367,185.74

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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.