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Finding the Third Proportional to 70,242 and 105,255

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Solution

The third proportional to 70,242 and 105,255 is: 157,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,242 : 105,255 = 105,255 : x
  2. Step 2: Convert to fraction form
    70,242/105,255 = 105,255/x
  3. Step 3: Cross multiply
    70,242x = 105,255 × 105,255
  4. Step 4: Simplify right side
    70,242x = 11,078,615,025
  5. Step 5: Solve for x
    x = 11,078,615,025/70,242
  6. Step 6: Final answer
    x = 157,720.67

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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.