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Finding the Third Proportional to 84,890 and 179,072

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Solution

The third proportional to 84,890 and 179,072 is: 377,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890 : 179,072 = 179,072 : x
  2. Step 2: Convert to fraction form
    84,890/179,072 = 179,072/x
  3. Step 3: Cross multiply
    84,890x = 179,072 × 179,072
  4. Step 4: Simplify right side
    84,890x = 32,066,781,184
  5. Step 5: Solve for x
    x = 32,066,781,184/84,890
  6. Step 6: Final answer
    x = 377,745.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.