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Finding the Third Proportional to 213,084 and 457,272

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Solution

The third proportional to 213,084 and 457,272 is: 981,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,084 : 457,272 = 457,272 : x
  2. Step 2: Convert to fraction form
    213,084/457,272 = 457,272/x
  3. Step 3: Cross multiply
    213,084x = 457,272 × 457,272
  4. Step 4: Simplify right side
    213,084x = 209,097,681,984
  5. Step 5: Solve for x
    x = 209,097,681,984/213,084
  6. Step 6: Final answer
    x = 981,292.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.