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Finding the Third Proportional to 217,421 and 300,427

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Solution

The third proportional to 217,421 and 300,427 is: 415,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,421 : 300,427 = 300,427 : x
  2. Step 2: Convert to fraction form
    217,421/300,427 = 300,427/x
  3. Step 3: Cross multiply
    217,421x = 300,427 × 300,427
  4. Step 4: Simplify right side
    217,421x = 90,256,382,329
  5. Step 5: Solve for x
    x = 90,256,382,329/217,421
  6. Step 6: Final answer
    x = 415,122.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.