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Finding the Third Proportional to 53,902 and 81,608

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Solution

The third proportional to 53,902 and 81,608 is: 123,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902 : 81,608 = 81,608 : x
  2. Step 2: Convert to fraction form
    53,902/81,608 = 81,608/x
  3. Step 3: Cross multiply
    53,902x = 81,608 × 81,608
  4. Step 4: Simplify right side
    53,902x = 6,659,865,664
  5. Step 5: Solve for x
    x = 6,659,865,664/53,902
  6. Step 6: Final answer
    x = 123,555.08

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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.