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Finding the Third Proportional to 138,809 and 298,663

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Solution

The third proportional to 138,809 and 298,663 is: 642,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809 : 298,663 = 298,663 : x
  2. Step 2: Convert to fraction form
    138,809/298,663 = 298,663/x
  3. Step 3: Cross multiply
    138,809x = 298,663 × 298,663
  4. Step 4: Simplify right side
    138,809x = 89,199,587,569
  5. Step 5: Solve for x
    x = 89,199,587,569/138,809
  6. Step 6: Final answer
    x = 642,606.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.