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Finding the Third Proportional to 84,297 and 180,621

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Solution

The third proportional to 84,297 and 180,621 is: 387,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,297 : 180,621 = 180,621 : x
  2. Step 2: Convert to fraction form
    84,297/180,621 = 180,621/x
  3. Step 3: Cross multiply
    84,297x = 180,621 × 180,621
  4. Step 4: Simplify right side
    84,297x = 32,623,945,641
  5. Step 5: Solve for x
    x = 32,623,945,641/84,297
  6. Step 6: Final answer
    x = 387,011.94

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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.