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Finding the Third Proportional to 428.73 and 466.70

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Solution

The third proportional to 428.73 and 466.70 is: 508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.73 : 466.70 = 466.70 : x
  2. Step 2: Convert to fraction form
    428.73/466.70 = 466.70/x
  3. Step 3: Cross multiply
    428.73x = 466.70 × 466.70
  4. Step 4: Simplify right side
    428.73x = 217,808.16
  5. Step 5: Solve for x
    x = 217,808.16/428.73
  6. Step 6: Final answer
    x = 508.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.