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Finding the Third Proportional to 30,907 and 66,187.75

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Solution

The third proportional to 30,907 and 66,187.75 is: 141,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907 : 66,187.75 = 66,187.75 : x
  2. Step 2: Convert to fraction form
    30,907/66,187.75 = 66,187.75/x
  3. Step 3: Cross multiply
    30,907x = 66,187.75 × 66,187.75
  4. Step 4: Simplify right side
    30,907x = 4,380,818,250.06
  5. Step 5: Solve for x
    x = 4,380,818,250.06/30,907
  6. Step 6: Final answer
    x = 141,741.94

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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.