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Finding the Third Proportional to 66,635 and 143,151

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Solution

The third proportional to 66,635 and 143,151 is: 307,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,635 : 143,151 = 143,151 : x
  2. Step 2: Convert to fraction form
    66,635/143,151 = 143,151/x
  3. Step 3: Cross multiply
    66,635x = 143,151 × 143,151
  4. Step 4: Simplify right side
    66,635x = 20,492,208,801
  5. Step 5: Solve for x
    x = 20,492,208,801/66,635
  6. Step 6: Final answer
    x = 307,529.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.