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Finding the Third Proportional to 84,640 and 180,941

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Solution

The third proportional to 84,640 and 180,941 is: 386,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,640 : 180,941 = 180,941 : x
  2. Step 2: Convert to fraction form
    84,640/180,941 = 180,941/x
  3. Step 3: Cross multiply
    84,640x = 180,941 × 180,941
  4. Step 4: Simplify right side
    84,640x = 32,739,645,481
  5. Step 5: Solve for x
    x = 32,739,645,481/84,640
  6. Step 6: Final answer
    x = 386,810.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.