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Finding the Third Proportional to 428,036 and 662,433

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Solution

The third proportional to 428,036 and 662,433 is: 1,025,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,036 : 662,433 = 662,433 : x
  2. Step 2: Convert to fraction form
    428,036/662,433 = 662,433/x
  3. Step 3: Cross multiply
    428,036x = 662,433 × 662,433
  4. Step 4: Simplify right side
    428,036x = 438,817,479,489
  5. Step 5: Solve for x
    x = 438,817,479,489/428,036
  6. Step 6: Final answer
    x = 1,025,188.25

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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.