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Finding the Third Proportional to 211,160 and 448,228

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Solution

The third proportional to 211,160 and 448,228 is: 951,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,160 : 448,228 = 448,228 : x
  2. Step 2: Convert to fraction form
    211,160/448,228 = 448,228/x
  3. Step 3: Cross multiply
    211,160x = 448,228 × 448,228
  4. Step 4: Simplify right side
    211,160x = 200,908,339,984
  5. Step 5: Solve for x
    x = 200,908,339,984/211,160
  6. Step 6: Final answer
    x = 951,450.75

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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.