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Finding the Third Proportional to 213,958 and 299,111

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Solution

The third proportional to 213,958 and 299,111 is: 418,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958 : 299,111 = 299,111 : x
  2. Step 2: Convert to fraction form
    213,958/299,111 = 299,111/x
  3. Step 3: Cross multiply
    213,958x = 299,111 × 299,111
  4. Step 4: Simplify right side
    213,958x = 89,467,390,321
  5. Step 5: Solve for x
    x = 89,467,390,321/213,958
  6. Step 6: Final answer
    x = 418,153.98

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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.