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Finding the Third Proportional to 74,615 and 103,416

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Solution

The third proportional to 74,615 and 103,416 is: 143,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,615 : 103,416 = 103,416 : x
  2. Step 2: Convert to fraction form
    74,615/103,416 = 103,416/x
  3. Step 3: Cross multiply
    74,615x = 103,416 × 103,416
  4. Step 4: Simplify right side
    74,615x = 10,694,869,056
  5. Step 5: Solve for x
    x = 10,694,869,056/74,615
  6. Step 6: Final answer
    x = 143,334.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.