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Finding the Third Proportional to 30,891 and 51,129

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Solution

The third proportional to 30,891 and 51,129 is: 84,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891 : 51,129 = 51,129 : x
  2. Step 2: Convert to fraction form
    30,891/51,129 = 51,129/x
  3. Step 3: Cross multiply
    30,891x = 51,129 × 51,129
  4. Step 4: Simplify right side
    30,891x = 2,614,174,641
  5. Step 5: Solve for x
    x = 2,614,174,641/30,891
  6. Step 6: Final answer
    x = 84,625.77

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.