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Finding the Third Proportional to 103,670 and 158,781

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Solution

The third proportional to 103,670 and 158,781 is: 243,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 158,781 = 158,781 : x
  2. Step 2: Convert to fraction form
    103,670/158,781 = 158,781/x
  3. Step 3: Cross multiply
    103,670x = 158,781 × 158,781
  4. Step 4: Simplify right side
    103,670x = 25,211,405,961
  5. Step 5: Solve for x
    x = 25,211,405,961/103,670
  6. Step 6: Final answer
    x = 243,189.02

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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.