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Finding the Third Proportional to 428.63 and 923.91

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Solution

The third proportional to 428.63 and 923.91 is: 1,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 923.91 = 923.91 : x
  2. Step 2: Convert to fraction form
    428.63/923.91 = 923.91/x
  3. Step 3: Cross multiply
    428.63x = 923.91 × 923.91
  4. Step 4: Simplify right side
    428.63x = 853,602.76
  5. Step 5: Solve for x
    x = 853,602.76/428.63
  6. Step 6: Final answer
    x = 1,991.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.