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Finding the Third Proportional to 428.03 and 921.06

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Solution

The third proportional to 428.03 and 921.06 is: 1,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.03 : 921.06 = 921.06 : x
  2. Step 2: Convert to fraction form
    428.03/921.06 = 921.06/x
  3. Step 3: Cross multiply
    428.03x = 921.06 × 921.06
  4. Step 4: Simplify right side
    428.03x = 848,348.93
  5. Step 5: Solve for x
    x = 848,348.93/428.03
  6. Step 6: Final answer
    x = 1,982.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.