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Finding the Third Proportional to 53,903 and 84,815

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Solution

The third proportional to 53,903 and 84,815 is: 133,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903 : 84,815 = 84,815 : x
  2. Step 2: Convert to fraction form
    53,903/84,815 = 84,815/x
  3. Step 3: Cross multiply
    53,903x = 84,815 × 84,815
  4. Step 4: Simplify right side
    53,903x = 7,193,584,225
  5. Step 5: Solve for x
    x = 7,193,584,225/53,903
  6. Step 6: Final answer
    x = 133,454.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.