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Finding the Third Proportional to 30,540.50 and 66,303.50

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Solution

The third proportional to 30,540.50 and 66,303.50 is: 143,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.50 : 66,303.50 = 66,303.50 : x
  2. Step 2: Convert to fraction form
    30,540.50/66,303.50 = 66,303.50/x
  3. Step 3: Cross multiply
    30,540.50x = 66,303.50 × 66,303.50
  4. Step 4: Simplify right side
    30,540.50x = 4,396,154,112.25
  5. Step 5: Solve for x
    x = 4,396,154,112.25/30,540.50
  6. Step 6: Final answer
    x = 143,945.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.