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Finding the Third Proportional to 213,899 and 299,062

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Solution

The third proportional to 213,899 and 299,062 is: 418,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,899 : 299,062 = 299,062 : x
  2. Step 2: Convert to fraction form
    213,899/299,062 = 299,062/x
  3. Step 3: Cross multiply
    213,899x = 299,062 × 299,062
  4. Step 4: Simplify right side
    213,899x = 89,438,079,844
  5. Step 5: Solve for x
    x = 89,438,079,844/213,899
  6. Step 6: Final answer
    x = 418,132.30

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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.