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Finding the Third Proportional to 186,835 and 408,739

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Solution

The third proportional to 186,835 and 408,739 is: 894,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,835 : 408,739 = 408,739 : x
  2. Step 2: Convert to fraction form
    186,835/408,739 = 408,739/x
  3. Step 3: Cross multiply
    186,835x = 408,739 × 408,739
  4. Step 4: Simplify right side
    186,835x = 167,067,570,121
  5. Step 5: Solve for x
    x = 167,067,570,121/186,835
  6. Step 6: Final answer
    x = 894,198.46

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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.