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Finding the Third Proportional to 66,084 and 137,638

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Solution

The third proportional to 66,084 and 137,638 is: 286,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084 : 137,638 = 137,638 : x
  2. Step 2: Convert to fraction form
    66,084/137,638 = 137,638/x
  3. Step 3: Cross multiply
    66,084x = 137,638 × 137,638
  4. Step 4: Simplify right side
    66,084x = 18,944,219,044
  5. Step 5: Solve for x
    x = 18,944,219,044/66,084
  6. Step 6: Final answer
    x = 286,668.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.