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Finding the Third Proportional to 185,918 and 407,320

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Solution

The third proportional to 185,918 and 407,320 is: 892,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,918 : 407,320 = 407,320 : x
  2. Step 2: Convert to fraction form
    185,918/407,320 = 407,320/x
  3. Step 3: Cross multiply
    185,918x = 407,320 × 407,320
  4. Step 4: Simplify right side
    185,918x = 165,909,582,400
  5. Step 5: Solve for x
    x = 165,909,582,400/185,918
  6. Step 6: Final answer
    x = 892,380.42

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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.