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Finding the Third Proportional to 489,228 and 697,980

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Solution

The third proportional to 489,228 and 697,980 is: 995,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,228 : 697,980 = 697,980 : x
  2. Step 2: Convert to fraction form
    489,228/697,980 = 697,980/x
  3. Step 3: Cross multiply
    489,228x = 697,980 × 697,980
  4. Step 4: Simplify right side
    489,228x = 487,176,080,400
  5. Step 5: Solve for x
    x = 487,176,080,400/489,228
  6. Step 6: Final answer
    x = 995,805.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.