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Finding the Third Proportional to 30,149 and 66,313

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Solution

The third proportional to 30,149 and 66,313 is: 145,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149 : 66,313 = 66,313 : x
  2. Step 2: Convert to fraction form
    30,149/66,313 = 66,313/x
  3. Step 3: Cross multiply
    30,149x = 66,313 × 66,313
  4. Step 4: Simplify right side
    30,149x = 4,397,413,969
  5. Step 5: Solve for x
    x = 4,397,413,969/30,149
  6. Step 6: Final answer
    x = 145,856.05

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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.