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Finding the Third Proportional to 217,152 and 448,272

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Solution

The third proportional to 217,152 and 448,272 is: 925,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,152 : 448,272 = 448,272 : x
  2. Step 2: Convert to fraction form
    217,152/448,272 = 448,272/x
  3. Step 3: Cross multiply
    217,152x = 448,272 × 448,272
  4. Step 4: Simplify right side
    217,152x = 200,947,785,984
  5. Step 5: Solve for x
    x = 200,947,785,984/217,152
  6. Step 6: Final answer
    x = 925,378.47

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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.