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Finding the Third Proportional to 211,972 and 448,483

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Solution

The third proportional to 211,972 and 448,483 is: 948,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,972 : 448,483 = 448,483 : x
  2. Step 2: Convert to fraction form
    211,972/448,483 = 448,483/x
  3. Step 3: Cross multiply
    211,972x = 448,483 × 448,483
  4. Step 4: Simplify right side
    211,972x = 201,137,001,289
  5. Step 5: Solve for x
    x = 201,137,001,289/211,972
  6. Step 6: Final answer
    x = 948,884.76

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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.