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Finding the Third Proportional to 52,887 and 81,009

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Solution

The third proportional to 52,887 and 81,009 is: 124,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,887 : 81,009 = 81,009 : x
  2. Step 2: Convert to fraction form
    52,887/81,009 = 81,009/x
  3. Step 3: Cross multiply
    52,887x = 81,009 × 81,009
  4. Step 4: Simplify right side
    52,887x = 6,562,458,081
  5. Step 5: Solve for x
    x = 6,562,458,081/52,887
  6. Step 6: Final answer
    x = 124,084.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.