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Finding the Third Proportional to 100,686 and 235,155

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Solution

The third proportional to 100,686 and 235,155 is: 549,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686 : 235,155 = 235,155 : x
  2. Step 2: Convert to fraction form
    100,686/235,155 = 235,155/x
  3. Step 3: Cross multiply
    100,686x = 235,155 × 235,155
  4. Step 4: Simplify right side
    100,686x = 55,297,874,025
  5. Step 5: Solve for x
    x = 55,297,874,025/100,686
  6. Step 6: Final answer
    x = 549,211.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.