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Finding the Third Proportional to 428,599 and 916,245

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Solution

The third proportional to 428,599 and 916,245 is: 1,958,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,599 : 916,245 = 916,245 : x
  2. Step 2: Convert to fraction form
    428,599/916,245 = 916,245/x
  3. Step 3: Cross multiply
    428,599x = 916,245 × 916,245
  4. Step 4: Simplify right side
    428,599x = 839,504,900,025
  5. Step 5: Solve for x
    x = 839,504,900,025/428,599
  6. Step 6: Final answer
    x = 1,958,718.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.