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Finding the Third Proportional to 53,063 and 80,279

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Solution

The third proportional to 53,063 and 80,279 is: 121,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,063 : 80,279 = 80,279 : x
  2. Step 2: Convert to fraction form
    53,063/80,279 = 80,279/x
  3. Step 3: Cross multiply
    53,063x = 80,279 × 80,279
  4. Step 4: Simplify right side
    53,063x = 6,444,717,841
  5. Step 5: Solve for x
    x = 6,444,717,841/53,063
  6. Step 6: Final answer
    x = 121,454.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.