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Finding the Third Proportional to 21,084 and 44,490

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Solution

The third proportional to 21,084 and 44,490 is: 93,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084 : 44,490 = 44,490 : x
  2. Step 2: Convert to fraction form
    21,084/44,490 = 44,490/x
  3. Step 3: Cross multiply
    21,084x = 44,490 × 44,490
  4. Step 4: Simplify right side
    21,084x = 1,979,360,100
  5. Step 5: Solve for x
    x = 1,979,360,100/21,084
  6. Step 6: Final answer
    x = 93,879.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.