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Finding the Third Proportional to 138,795 and 298,638

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Solution

The third proportional to 138,795 and 298,638 is: 642,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,795 : 298,638 = 298,638 : x
  2. Step 2: Convert to fraction form
    138,795/298,638 = 298,638/x
  3. Step 3: Cross multiply
    138,795x = 298,638 × 298,638
  4. Step 4: Simplify right side
    138,795x = 89,184,655,044
  5. Step 5: Solve for x
    x = 89,184,655,044/138,795
  6. Step 6: Final answer
    x = 642,563.89

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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.