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Finding the Third Proportional to 30,015 and 64,843

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Solution

The third proportional to 30,015 and 64,843 is: 140,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015 : 64,843 = 64,843 : x
  2. Step 2: Convert to fraction form
    30,015/64,843 = 64,843/x
  3. Step 3: Cross multiply
    30,015x = 64,843 × 64,843
  4. Step 4: Simplify right side
    30,015x = 4,204,614,649
  5. Step 5: Solve for x
    x = 4,204,614,649/30,015
  6. Step 6: Final answer
    x = 140,083.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.