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Finding the Third Proportional to 428.13 and 935.13

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Solution

The third proportional to 428.13 and 935.13 is: 2,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 935.13 = 935.13 : x
  2. Step 2: Convert to fraction form
    428.13/935.13 = 935.13/x
  3. Step 3: Cross multiply
    428.13x = 935.13 × 935.13
  4. Step 4: Simplify right side
    428.13x = 874,458.77
  5. Step 5: Solve for x
    x = 874,458.77/428.13
  6. Step 6: Final answer
    x = 2,042.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.