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Finding the Third Proportional to 117,615 and 254,670

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Solution

The third proportional to 117,615 and 254,670 is: 551,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615 : 254,670 = 254,670 : x
  2. Step 2: Convert to fraction form
    117,615/254,670 = 254,670/x
  3. Step 3: Cross multiply
    117,615x = 254,670 × 254,670
  4. Step 4: Simplify right side
    117,615x = 64,856,808,900
  5. Step 5: Solve for x
    x = 64,856,808,900/117,615
  6. Step 6: Final answer
    x = 551,433.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.