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Finding the Third Proportional to 428.63 and 921.80

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Solution

The third proportional to 428.63 and 921.80 is: 1,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 921.80 = 921.80 : x
  2. Step 2: Convert to fraction form
    428.63/921.80 = 921.80/x
  3. Step 3: Cross multiply
    428.63x = 921.80 × 921.80
  4. Step 4: Simplify right side
    428.63x = 849,709.48
  5. Step 5: Solve for x
    x = 849,709.48/428.63
  6. Step 6: Final answer
    x = 1,982.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.