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Finding the Third Proportional to 30,450 and 66,076

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Solution

The third proportional to 30,450 and 66,076 is: 143,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450 : 66,076 = 66,076 : x
  2. Step 2: Convert to fraction form
    30,450/66,076 = 66,076/x
  3. Step 3: Cross multiply
    30,450x = 66,076 × 66,076
  4. Step 4: Simplify right side
    30,450x = 4,366,037,776
  5. Step 5: Solve for x
    x = 4,366,037,776/30,450
  6. Step 6: Final answer
    x = 143,383.84

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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.