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Finding the Third Proportional to 234,775 and 489,005

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Solution

The third proportional to 234,775 and 489,005 is: 1,018,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,775 : 489,005 = 489,005 : x
  2. Step 2: Convert to fraction form
    234,775/489,005 = 489,005/x
  3. Step 3: Cross multiply
    234,775x = 489,005 × 489,005
  4. Step 4: Simplify right side
    234,775x = 239,125,890,025
  5. Step 5: Solve for x
    x = 239,125,890,025/234,775
  6. Step 6: Final answer
    x = 1,018,532.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.