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Finding the Third Proportional to 53,646 and 81,159

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Solution

The third proportional to 53,646 and 81,159 is: 122,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,646 : 81,159 = 81,159 : x
  2. Step 2: Convert to fraction form
    53,646/81,159 = 81,159/x
  3. Step 3: Cross multiply
    53,646x = 81,159 × 81,159
  4. Step 4: Simplify right side
    53,646x = 6,586,783,281
  5. Step 5: Solve for x
    x = 6,586,783,281/53,646
  6. Step 6: Final answer
    x = 122,782.37

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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.