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Finding the Third Proportional to 30,314 and 66,267

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Solution

The third proportional to 30,314 and 66,267 is: 144,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314 : 66,267 = 66,267 : x
  2. Step 2: Convert to fraction form
    30,314/66,267 = 66,267/x
  3. Step 3: Cross multiply
    30,314x = 66,267 × 66,267
  4. Step 4: Simplify right side
    30,314x = 4,391,315,289
  5. Step 5: Solve for x
    x = 4,391,315,289/30,314
  6. Step 6: Final answer
    x = 144,860.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.