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Finding the Third Proportional to 234,678 and 480,288

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Solution

The third proportional to 234,678 and 480,288 is: 982,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,678 : 480,288 = 480,288 : x
  2. Step 2: Convert to fraction form
    234,678/480,288 = 480,288/x
  3. Step 3: Cross multiply
    234,678x = 480,288 × 480,288
  4. Step 4: Simplify right side
    234,678x = 230,676,562,944
  5. Step 5: Solve for x
    x = 230,676,562,944/234,678
  6. Step 6: Final answer
    x = 982,949.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.