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Finding the Third Proportional to 428,040 and 663,696

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Solution

The third proportional to 428,040 and 663,696 is: 1,029,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,040 : 663,696 = 663,696 : x
  2. Step 2: Convert to fraction form
    428,040/663,696 = 663,696/x
  3. Step 3: Cross multiply
    428,040x = 663,696 × 663,696
  4. Step 4: Simplify right side
    428,040x = 440,492,380,416
  5. Step 5: Solve for x
    x = 440,492,380,416/428,040
  6. Step 6: Final answer
    x = 1,029,091.63

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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.