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Finding the Third Proportional to 30,105.75 and 66,170.25

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Solution

The third proportional to 30,105.75 and 66,170.25 is: 145,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.75 : 66,170.25 = 66,170.25 : x
  2. Step 2: Convert to fraction form
    30,105.75/66,170.25 = 66,170.25/x
  3. Step 3: Cross multiply
    30,105.75x = 66,170.25 × 66,170.25
  4. Step 4: Simplify right side
    30,105.75x = 4,378,501,985.06
  5. Step 5: Solve for x
    x = 4,378,501,985.06/30,105.75
  6. Step 6: Final answer
    x = 145,437.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.