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Finding the Third Proportional to 211,976 and 448,490

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Solution

The third proportional to 211,976 and 448,490 is: 948,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,976 : 448,490 = 448,490 : x
  2. Step 2: Convert to fraction form
    211,976/448,490 = 448,490/x
  3. Step 3: Cross multiply
    211,976x = 448,490 × 448,490
  4. Step 4: Simplify right side
    211,976x = 201,143,280,100
  5. Step 5: Solve for x
    x = 201,143,280,100/211,976
  6. Step 6: Final answer
    x = 948,896.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.