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Finding the Third Proportional to 489,251 and 688,980

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Solution

The third proportional to 489,251 and 688,980 is: 970,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,251 : 688,980 = 688,980 : x
  2. Step 2: Convert to fraction form
    489,251/688,980 = 688,980/x
  3. Step 3: Cross multiply
    489,251x = 688,980 × 688,980
  4. Step 4: Simplify right side
    489,251x = 474,693,440,400
  5. Step 5: Solve for x
    x = 474,693,440,400/489,251
  6. Step 6: Final answer
    x = 970,245.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.