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Finding the Third Proportional to 215,880 and 323,844

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Solution

The third proportional to 215,880 and 323,844 is: 485,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,880 : 323,844 = 323,844 : x
  2. Step 2: Convert to fraction form
    215,880/323,844 = 323,844/x
  3. Step 3: Cross multiply
    215,880x = 323,844 × 323,844
  4. Step 4: Simplify right side
    215,880x = 104,874,936,336
  5. Step 5: Solve for x
    x = 104,874,936,336/215,880
  6. Step 6: Final answer
    x = 485,802.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.