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Finding the Third Proportional to 103,686 and 158,805

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Solution

The third proportional to 103,686 and 158,805 is: 243,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 158,805 = 158,805 : x
  2. Step 2: Convert to fraction form
    103,686/158,805 = 158,805/x
  3. Step 3: Cross multiply
    103,686x = 158,805 × 158,805
  4. Step 4: Simplify right side
    103,686x = 25,219,028,025
  5. Step 5: Solve for x
    x = 25,219,028,025/103,686
  6. Step 6: Final answer
    x = 243,225.01

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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.