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Finding the Third Proportional to 489,264 and 688,989

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Solution

The third proportional to 489,264 and 688,989 is: 970,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,264 : 688,989 = 688,989 : x
  2. Step 2: Convert to fraction form
    489,264/688,989 = 688,989/x
  3. Step 3: Cross multiply
    489,264x = 688,989 × 688,989
  4. Step 4: Simplify right side
    489,264x = 474,705,842,121
  5. Step 5: Solve for x
    x = 474,705,842,121/489,264
  6. Step 6: Final answer
    x = 970,244.78

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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.