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Finding the Third Proportional to 217,154 and 448,276

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Solution

The third proportional to 217,154 and 448,276 is: 925,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,154 : 448,276 = 448,276 : x
  2. Step 2: Convert to fraction form
    217,154/448,276 = 448,276/x
  3. Step 3: Cross multiply
    217,154x = 448,276 × 448,276
  4. Step 4: Simplify right side
    217,154x = 200,951,372,176
  5. Step 5: Solve for x
    x = 200,951,372,176/217,154
  6. Step 6: Final answer
    x = 925,386.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.