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Finding the Third Proportional to 489,996 and 664,992

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Solution

The third proportional to 489,996 and 664,992 is: 902,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,996 : 664,992 = 664,992 : x
  2. Step 2: Convert to fraction form
    489,996/664,992 = 664,992/x
  3. Step 3: Cross multiply
    489,996x = 664,992 × 664,992
  4. Step 4: Simplify right side
    489,996x = 442,214,360,064
  5. Step 5: Solve for x
    x = 442,214,360,064/489,996
  6. Step 6: Final answer
    x = 902,485.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.