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Finding the Third Proportional to 315,684 and 489,051

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Solution

The third proportional to 315,684 and 489,051 is: 757,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,684 : 489,051 = 489,051 : x
  2. Step 2: Convert to fraction form
    315,684/489,051 = 489,051/x
  3. Step 3: Cross multiply
    315,684x = 489,051 × 489,051
  4. Step 4: Simplify right side
    315,684x = 239,170,880,601
  5. Step 5: Solve for x
    x = 239,170,880,601/315,684
  6. Step 6: Final answer
    x = 757,627.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.