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Finding the Third Proportional to 428.94 and 924.01

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Solution

The third proportional to 428.94 and 924.01 is: 1,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.94 : 924.01 = 924.01 : x
  2. Step 2: Convert to fraction form
    428.94/924.01 = 924.01/x
  3. Step 3: Cross multiply
    428.94x = 924.01 × 924.01
  4. Step 4: Simplify right side
    428.94x = 853,797.66
  5. Step 5: Solve for x
    x = 853,797.66/428.94
  6. Step 6: Final answer
    x = 1,990.48

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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.