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Finding the Third Proportional to 66,609 and 142,717

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Solution

The third proportional to 66,609 and 142,717 is: 305,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609 : 142,717 = 142,717 : x
  2. Step 2: Convert to fraction form
    66,609/142,717 = 142,717/x
  3. Step 3: Cross multiply
    66,609x = 142,717 × 142,717
  4. Step 4: Simplify right side
    66,609x = 20,368,142,089
  5. Step 5: Solve for x
    x = 20,368,142,089/66,609
  6. Step 6: Final answer
    x = 305,786.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.