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Finding the Third Proportional to 428,154.38 and 666,738.56

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Solution

The third proportional to 428,154.38 and 666,738.56 is: 1,038,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,154.38 : 666,738.56 = 666,738.56 : x
  2. Step 2: Convert to fraction form
    428,154.38/666,738.56 = 666,738.56/x
  3. Step 3: Cross multiply
    428,154.38x = 666,738.56 × 666,738.56
  4. Step 4: Simplify right side
    428,154.38x = 444,540,310,724.57
  5. Step 5: Solve for x
    x = 444,540,310,724.57/428,154.38
  6. Step 6: Final answer
    x = 1,038,271.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.