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Finding the Third Proportional to 184.78 and 400.36

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Solution

The third proportional to 184.78 and 400.36 is: 867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 400.36 = 400.36 : x
  2. Step 2: Convert to fraction form
    184.78/400.36 = 400.36/x
  3. Step 3: Cross multiply
    184.78x = 400.36 × 400.36
  4. Step 4: Simplify right side
    184.78x = 160,287.63
  5. Step 5: Solve for x
    x = 160,287.63/184.78
  6. Step 6: Final answer
    x = 867.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.