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Finding the Third Proportional to 428.38 and 930.16

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Solution

The third proportional to 428.38 and 930.16 is: 2,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.38 : 930.16 = 930.16 : x
  2. Step 2: Convert to fraction form
    428.38/930.16 = 930.16/x
  3. Step 3: Cross multiply
    428.38x = 930.16 × 930.16
  4. Step 4: Simplify right side
    428.38x = 865,205.18
  5. Step 5: Solve for x
    x = 865,205.18/428.38
  6. Step 6: Final answer
    x = 2,019.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.