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Finding the Third Proportional to 428,376 and 904,976

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Solution

The third proportional to 428,376 and 904,976 is: 1,911,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,376 : 904,976 = 904,976 : x
  2. Step 2: Convert to fraction form
    428,376/904,976 = 904,976/x
  3. Step 3: Cross multiply
    428,376x = 904,976 × 904,976
  4. Step 4: Simplify right side
    428,376x = 818,981,560,576
  5. Step 5: Solve for x
    x = 818,981,560,576/428,376
  6. Step 6: Final answer
    x = 1,911,828.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.