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Finding the Third Proportional to 213,879 and 299,007

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Solution

The third proportional to 213,879 and 299,007 is: 418,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,879 : 299,007 = 299,007 : x
  2. Step 2: Convert to fraction form
    213,879/299,007 = 299,007/x
  3. Step 3: Cross multiply
    213,879x = 299,007 × 299,007
  4. Step 4: Simplify right side
    213,879x = 89,405,186,049
  5. Step 5: Solve for x
    x = 89,405,186,049/213,879
  6. Step 6: Final answer
    x = 418,017.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.