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Finding the Third Proportional to 30,450 and 47,779

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Solution

The third proportional to 30,450 and 47,779 is: 74,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450 : 47,779 = 47,779 : x
  2. Step 2: Convert to fraction form
    30,450/47,779 = 47,779/x
  3. Step 3: Cross multiply
    30,450x = 47,779 × 47,779
  4. Step 4: Simplify right side
    30,450x = 2,282,832,841
  5. Step 5: Solve for x
    x = 2,282,832,841/30,450
  6. Step 6: Final answer
    x = 74,969.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.