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Finding the Third Proportional to 53,586 and 102,309

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Solution

The third proportional to 53,586 and 102,309 is: 195,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586 : 102,309 = 102,309 : x
  2. Step 2: Convert to fraction form
    53,586/102,309 = 102,309/x
  3. Step 3: Cross multiply
    53,586x = 102,309 × 102,309
  4. Step 4: Simplify right side
    53,586x = 10,467,131,481
  5. Step 5: Solve for x
    x = 10,467,131,481/53,586
  6. Step 6: Final answer
    x = 195,333.32

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.