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Finding the Third Proportional to 185,430 and 405,852

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Solution

The third proportional to 185,430 and 405,852 is: 888,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,430 : 405,852 = 405,852 : x
  2. Step 2: Convert to fraction form
    185,430/405,852 = 405,852/x
  3. Step 3: Cross multiply
    185,430x = 405,852 × 405,852
  4. Step 4: Simplify right side
    185,430x = 164,715,845,904
  5. Step 5: Solve for x
    x = 164,715,845,904/185,430
  6. Step 6: Final answer
    x = 888,291.25

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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.