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Finding the Third Proportional to 428,034 and 663,692

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Solution

The third proportional to 428,034 and 663,692 is: 1,029,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,034 : 663,692 = 663,692 : x
  2. Step 2: Convert to fraction form
    428,034/663,692 = 663,692/x
  3. Step 3: Cross multiply
    428,034x = 663,692 × 663,692
  4. Step 4: Simplify right side
    428,034x = 440,487,070,864
  5. Step 5: Solve for x
    x = 440,487,070,864/428,034
  6. Step 6: Final answer
    x = 1,029,093.65

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