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Finding the Third Proportional to 11,421 and 14,299.50

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Solution

The third proportional to 11,421 and 14,299.50 is: 17,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 14,299.50 = 14,299.50 : x
  2. Step 2: Convert to fraction form
    11,421/14,299.50 = 14,299.50/x
  3. Step 3: Cross multiply
    11,421x = 14,299.50 × 14,299.50
  4. Step 4: Simplify right side
    11,421x = 204,475,700.25
  5. Step 5: Solve for x
    x = 204,475,700.25/11,421
  6. Step 6: Final answer
    x = 17,903.48

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.