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Finding the Third Proportional to 215,430 and 441,308

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Solution

The third proportional to 215,430 and 441,308 is: 904,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,430 : 441,308 = 441,308 : x
  2. Step 2: Convert to fraction form
    215,430/441,308 = 441,308/x
  3. Step 3: Cross multiply
    215,430x = 441,308 × 441,308
  4. Step 4: Simplify right side
    215,430x = 194,752,750,864
  5. Step 5: Solve for x
    x = 194,752,750,864/215,430
  6. Step 6: Final answer
    x = 904,018.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.