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Finding the Third Proportional to 489,420 and 689,220

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Solution

The third proportional to 489,420 and 689,220 is: 970,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,420 : 689,220 = 689,220 : x
  2. Step 2: Convert to fraction form
    489,420/689,220 = 689,220/x
  3. Step 3: Cross multiply
    489,420x = 689,220 × 689,220
  4. Step 4: Simplify right side
    489,420x = 475,024,208,400
  5. Step 5: Solve for x
    x = 475,024,208,400/489,420
  6. Step 6: Final answer
    x = 970,586.02

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Why These Related Problems?

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