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Finding the Third Proportional to 428.02 and 646.66

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Solution

The third proportional to 428.02 and 646.66 is: 976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.02 : 646.66 = 646.66 : x
  2. Step 2: Convert to fraction form
    428.02/646.66 = 646.66/x
  3. Step 3: Cross multiply
    428.02x = 646.66 × 646.66
  4. Step 4: Simplify right side
    428.02x = 418,163.04
  5. Step 5: Solve for x
    x = 418,163.04/428.02
  6. Step 6: Final answer
    x = 976.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.