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Finding the Third Proportional to 51,032 and 78,822

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Solution

The third proportional to 51,032 and 78,822 is: 121,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 78,822 = 78,822 : x
  2. Step 2: Convert to fraction form
    51,032/78,822 = 78,822/x
  3. Step 3: Cross multiply
    51,032x = 78,822 × 78,822
  4. Step 4: Simplify right side
    51,032x = 6,212,907,684
  5. Step 5: Solve for x
    x = 6,212,907,684/51,032
  6. Step 6: Final answer
    x = 121,745.33

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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.