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Finding the Third Proportional to 84,621 and 180,109

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Solution

The third proportional to 84,621 and 180,109 is: 383,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,621 : 180,109 = 180,109 : x
  2. Step 2: Convert to fraction form
    84,621/180,109 = 180,109/x
  3. Step 3: Cross multiply
    84,621x = 180,109 × 180,109
  4. Step 4: Simplify right side
    84,621x = 32,439,251,881
  5. Step 5: Solve for x
    x = 32,439,251,881/84,621
  6. Step 6: Final answer
    x = 383,347.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.