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Finding the Third Proportional to 428.10 and 924.54

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Solution

The third proportional to 428.10 and 924.54 is: 1,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.10 : 924.54 = 924.54 : x
  2. Step 2: Convert to fraction form
    428.10/924.54 = 924.54/x
  3. Step 3: Cross multiply
    428.10x = 924.54 × 924.54
  4. Step 4: Simplify right side
    428.10x = 854,772.48
  5. Step 5: Solve for x
    x = 854,772.48/428.10
  6. Step 6: Final answer
    x = 1,996.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.