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Finding the Third Proportional to 428,633 and 921,782

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Solution

The third proportional to 428,633 and 921,782 is: 1,982,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,633 : 921,782 = 921,782 : x
  2. Step 2: Convert to fraction form
    428,633/921,782 = 921,782/x
  3. Step 3: Cross multiply
    428,633x = 921,782 × 921,782
  4. Step 4: Simplify right side
    428,633x = 849,682,055,524
  5. Step 5: Solve for x
    x = 849,682,055,524/428,633
  6. Step 6: Final answer
    x = 1,982,306.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.