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Finding the Third Proportional to 47,679 and 91,020

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Solution

The third proportional to 47,679 and 91,020 is: 173,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679 : 91,020 = 91,020 : x
  2. Step 2: Convert to fraction form
    47,679/91,020 = 91,020/x
  3. Step 3: Cross multiply
    47,679x = 91,020 × 91,020
  4. Step 4: Simplify right side
    47,679x = 8,284,640,400
  5. Step 5: Solve for x
    x = 8,284,640,400/47,679
  6. Step 6: Final answer
    x = 173,758.69

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.