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Finding the Third Proportional to 30,197.81 and 66,435.19

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Solution

The third proportional to 30,197.81 and 66,435.19 is: 146,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.81 : 66,435.19 = 66,435.19 : x
  2. Step 2: Convert to fraction form
    30,197.81/66,435.19 = 66,435.19/x
  3. Step 3: Cross multiply
    30,197.81x = 66,435.19 × 66,435.19
  4. Step 4: Simplify right side
    30,197.81x = 4,413,634,138.16
  5. Step 5: Solve for x
    x = 4,413,634,138.16/30,197.81
  6. Step 6: Final answer
    x = 146,157.41

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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.