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Finding the Third Proportional to 66,603 and 142,682

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Solution

The third proportional to 66,603 and 142,682 is: 305,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,603 : 142,682 = 142,682 : x
  2. Step 2: Convert to fraction form
    66,603/142,682 = 142,682/x
  3. Step 3: Cross multiply
    66,603x = 142,682 × 142,682
  4. Step 4: Simplify right side
    66,603x = 20,358,153,124
  5. Step 5: Solve for x
    x = 20,358,153,124/66,603
  6. Step 6: Final answer
    x = 305,664.21

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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.