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Finding the Third Proportional to 31,220 and 66,907

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Solution

The third proportional to 31,220 and 66,907 is: 143,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220 : 66,907 = 66,907 : x
  2. Step 2: Convert to fraction form
    31,220/66,907 = 66,907/x
  3. Step 3: Cross multiply
    31,220x = 66,907 × 66,907
  4. Step 4: Simplify right side
    31,220x = 4,476,546,649
  5. Step 5: Solve for x
    x = 4,476,546,649/31,220
  6. Step 6: Final answer
    x = 143,387.14

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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.