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Finding the Third Proportional to 69,405 and 103,917

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Solution

The third proportional to 69,405 and 103,917 is: 155,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,405 : 103,917 = 103,917 : x
  2. Step 2: Convert to fraction form
    69,405/103,917 = 103,917/x
  3. Step 3: Cross multiply
    69,405x = 103,917 × 103,917
  4. Step 4: Simplify right side
    69,405x = 10,798,742,889
  5. Step 5: Solve for x
    x = 10,798,742,889/69,405
  6. Step 6: Final answer
    x = 155,590.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.