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Finding the Third Proportional to 66,858 and 134,810

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Solution

The third proportional to 66,858 and 134,810 is: 271,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,858 : 134,810 = 134,810 : x
  2. Step 2: Convert to fraction form
    66,858/134,810 = 134,810/x
  3. Step 3: Cross multiply
    66,858x = 134,810 × 134,810
  4. Step 4: Simplify right side
    66,858x = 18,173,736,100
  5. Step 5: Solve for x
    x = 18,173,736,100/66,858
  6. Step 6: Final answer
    x = 271,825.90

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.