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Finding the Third Proportional to 275,940 and 423,023

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Solution

The third proportional to 275,940 and 423,023 is: 648,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,940 : 423,023 = 423,023 : x
  2. Step 2: Convert to fraction form
    275,940/423,023 = 423,023/x
  3. Step 3: Cross multiply
    275,940x = 423,023 × 423,023
  4. Step 4: Simplify right side
    275,940x = 178,948,458,529
  5. Step 5: Solve for x
    x = 178,948,458,529/275,940
  6. Step 6: Final answer
    x = 648,504.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.