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Finding the Third Proportional to 41,480 and 91,024

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Solution

The third proportional to 41,480 and 91,024 is: 199,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,480 : 91,024 = 91,024 : x
  2. Step 2: Convert to fraction form
    41,480/91,024 = 91,024/x
  3. Step 3: Cross multiply
    41,480x = 91,024 × 91,024
  4. Step 4: Simplify right side
    41,480x = 8,285,368,576
  5. Step 5: Solve for x
    x = 8,285,368,576/41,480
  6. Step 6: Final answer
    x = 199,743.70

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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.