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Finding the Third Proportional to 428.48 and 887.34

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Solution

The third proportional to 428.48 and 887.34 is: 1,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.48 : 887.34 = 887.34 : x
  2. Step 2: Convert to fraction form
    428.48/887.34 = 887.34/x
  3. Step 3: Cross multiply
    428.48x = 887.34 × 887.34
  4. Step 4: Simplify right side
    428.48x = 787,378.93
  5. Step 5: Solve for x
    x = 787,378.93/428.48
  6. Step 6: Final answer
    x = 1,837.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.