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Finding the Third Proportional to 489,270 and 688,997

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Solution

The third proportional to 489,270 and 688,997 is: 970,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,270 : 688,997 = 688,997 : x
  2. Step 2: Convert to fraction form
    489,270/688,997 = 688,997/x
  3. Step 3: Cross multiply
    489,270x = 688,997 × 688,997
  4. Step 4: Simplify right side
    489,270x = 474,716,866,009
  5. Step 5: Solve for x
    x = 474,716,866,009/489,270
  6. Step 6: Final answer
    x = 970,255.41

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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.