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Finding the Third Proportional to 428.20 and 917.16

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Solution

The third proportional to 428.20 and 917.16 is: 1,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 917.16 = 917.16 : x
  2. Step 2: Convert to fraction form
    428.20/917.16 = 917.16/x
  3. Step 3: Cross multiply
    428.20x = 917.16 × 917.16
  4. Step 4: Simplify right side
    428.20x = 841,175.59
  5. Step 5: Solve for x
    x = 841,175.59/428.20
  6. Step 6: Final answer
    x = 1,964.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.