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Finding the Third Proportional to 185,424 and 405,840

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Solution

The third proportional to 185,424 and 405,840 is: 888,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,424 : 405,840 = 405,840 : x
  2. Step 2: Convert to fraction form
    185,424/405,840 = 405,840/x
  3. Step 3: Cross multiply
    185,424x = 405,840 × 405,840
  4. Step 4: Simplify right side
    185,424x = 164,706,105,600
  5. Step 5: Solve for x
    x = 164,706,105,600/185,424
  6. Step 6: Final answer
    x = 888,267.46

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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.