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Finding the Third Proportional to 428,036.06 and 903,791.25

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Solution

The third proportional to 428,036.06 and 903,791.25 is: 1,908,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,036.06 : 903,791.25 = 903,791.25 : x
  2. Step 2: Convert to fraction form
    428,036.06/903,791.25 = 903,791.25/x
  3. Step 3: Cross multiply
    428,036.06x = 903,791.25 × 903,791.25
  4. Step 4: Simplify right side
    428,036.06x = 816,838,623,576.56
  5. Step 5: Solve for x
    x = 816,838,623,576.56/428,036.06
  6. Step 6: Final answer
    x = 1,908,340.66

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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.