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Finding the Third Proportional to 428,038 and 903,795

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Solution

The third proportional to 428,038 and 903,795 is: 1,908,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,038 : 903,795 = 903,795 : x
  2. Step 2: Convert to fraction form
    428,038/903,795 = 903,795/x
  3. Step 3: Cross multiply
    428,038x = 903,795 × 903,795
  4. Step 4: Simplify right side
    428,038x = 816,845,402,025
  5. Step 5: Solve for x
    x = 816,845,402,025/428,038
  6. Step 6: Final answer
    x = 1,908,347.86

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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.