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Finding the Third Proportional to 105,424 and 168,615

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Solution

The third proportional to 105,424 and 168,615 is: 269,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424 : 168,615 = 168,615 : x
  2. Step 2: Convert to fraction form
    105,424/168,615 = 168,615/x
  3. Step 3: Cross multiply
    105,424x = 168,615 × 168,615
  4. Step 4: Simplify right side
    105,424x = 28,431,018,225
  5. Step 5: Solve for x
    x = 28,431,018,225/105,424
  6. Step 6: Final answer
    x = 269,682.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.