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Finding the Third Proportional to 14,289 and 21,419

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Solution

The third proportional to 14,289 and 21,419 is: 32,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289 : 21,419 = 21,419 : x
  2. Step 2: Convert to fraction form
    14,289/21,419 = 21,419/x
  3. Step 3: Cross multiply
    14,289x = 21,419 × 21,419
  4. Step 4: Simplify right side
    14,289x = 458,773,561
  5. Step 5: Solve for x
    x = 458,773,561/14,289
  6. Step 6: Final answer
    x = 32,106.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.