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Finding the Third Proportional to 428,036 and 663,695

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Solution

The third proportional to 428,036 and 663,695 is: 1,029,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,036 : 663,695 = 663,695 : x
  2. Step 2: Convert to fraction form
    428,036/663,695 = 663,695/x
  3. Step 3: Cross multiply
    428,036x = 663,695 × 663,695
  4. Step 4: Simplify right side
    428,036x = 440,491,053,025
  5. Step 5: Solve for x
    x = 440,491,053,025/428,036
  6. Step 6: Final answer
    x = 1,029,098.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.