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Finding the Third Proportional to 250,988 and 489,364

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Solution

The third proportional to 250,988 and 489,364 is: 954,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,988 : 489,364 = 489,364 : x
  2. Step 2: Convert to fraction form
    250,988/489,364 = 489,364/x
  3. Step 3: Cross multiply
    250,988x = 489,364 × 489,364
  4. Step 4: Simplify right side
    250,988x = 239,477,124,496
  5. Step 5: Solve for x
    x = 239,477,124,496/250,988
  6. Step 6: Final answer
    x = 954,137.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.