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Finding the Third Proportional to 185,400 and 405,648

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Solution

The third proportional to 185,400 and 405,648 is: 887,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,400 : 405,648 = 405,648 : x
  2. Step 2: Convert to fraction form
    185,400/405,648 = 405,648/x
  3. Step 3: Cross multiply
    185,400x = 405,648 × 405,648
  4. Step 4: Simplify right side
    185,400x = 164,550,299,904
  5. Step 5: Solve for x
    x = 164,550,299,904/185,400
  6. Step 6: Final answer
    x = 887,542.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.