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Finding the Third Proportional to 234,732 and 489,318

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Solution

The third proportional to 234,732 and 489,318 is: 1,020,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,732 : 489,318 = 489,318 : x
  2. Step 2: Convert to fraction form
    234,732/489,318 = 489,318/x
  3. Step 3: Cross multiply
    234,732x = 489,318 × 489,318
  4. Step 4: Simplify right side
    234,732x = 239,432,105,124
  5. Step 5: Solve for x
    x = 239,432,105,124/234,732
  6. Step 6: Final answer
    x = 1,020,023.28

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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.