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Finding the Third Proportional to 318,684 and 489,168

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Solution

The third proportional to 318,684 and 489,168 is: 750,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,684 : 489,168 = 489,168 : x
  2. Step 2: Convert to fraction form
    318,684/489,168 = 489,168/x
  3. Step 3: Cross multiply
    318,684x = 489,168 × 489,168
  4. Step 4: Simplify right side
    318,684x = 239,285,332,224
  5. Step 5: Solve for x
    x = 239,285,332,224/318,684
  6. Step 6: Final answer
    x = 750,854.55

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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.