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Finding the Third Proportional to 489,468 and 689,280

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Solution

The third proportional to 489,468 and 689,280 is: 970,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,468 : 689,280 = 689,280 : x
  2. Step 2: Convert to fraction form
    489,468/689,280 = 689,280/x
  3. Step 3: Cross multiply
    489,468x = 689,280 × 689,280
  4. Step 4: Simplify right side
    489,468x = 475,106,918,400
  5. Step 5: Solve for x
    x = 475,106,918,400/489,468
  6. Step 6: Final answer
    x = 970,659.82

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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.