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Finding the Third Proportional to 30,147.19 and 66,308.63

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Solution

The third proportional to 30,147.19 and 66,308.63 is: 145,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.19 : 66,308.63 = 66,308.63 : x
  2. Step 2: Convert to fraction form
    30,147.19/66,308.63 = 66,308.63/x
  3. Step 3: Cross multiply
    30,147.19x = 66,308.63 × 66,308.63
  4. Step 4: Simplify right side
    30,147.19x = 4,396,833,749.39
  5. Step 5: Solve for x
    x = 4,396,833,749.39/30,147.19
  6. Step 6: Final answer
    x = 145,845.57

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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.