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Finding the Third Proportional to 84,390 and 181,296

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Solution

The third proportional to 84,390 and 181,296 is: 389,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,390 : 181,296 = 181,296 : x
  2. Step 2: Convert to fraction form
    84,390/181,296 = 181,296/x
  3. Step 3: Cross multiply
    84,390x = 181,296 × 181,296
  4. Step 4: Simplify right side
    84,390x = 32,868,239,616
  5. Step 5: Solve for x
    x = 32,868,239,616/84,390
  6. Step 6: Final answer
    x = 389,480.27

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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.