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Finding the Third Proportional to 168,064 and 361,615

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Solution

The third proportional to 168,064 and 361,615 is: 778,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,064 : 361,615 = 361,615 : x
  2. Step 2: Convert to fraction form
    168,064/361,615 = 361,615/x
  3. Step 3: Cross multiply
    168,064x = 361,615 × 361,615
  4. Step 4: Simplify right side
    168,064x = 130,765,408,225
  5. Step 5: Solve for x
    x = 130,765,408,225/168,064
  6. Step 6: Final answer
    x = 778,069.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.