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Finding the Third Proportional to 428,026 and 927,383

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Solution

The third proportional to 428,026 and 927,383 is: 2,009,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,026 : 927,383 = 927,383 : x
  2. Step 2: Convert to fraction form
    428,026/927,383 = 927,383/x
  3. Step 3: Cross multiply
    428,026x = 927,383 × 927,383
  4. Step 4: Simplify right side
    428,026x = 860,039,228,689
  5. Step 5: Solve for x
    x = 860,039,228,689/428,026
  6. Step 6: Final answer
    x = 2,009,315.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.