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Finding the Third Proportional to 14,228.85 and 21,278.40

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Solution

The third proportional to 14,228.85 and 21,278.40 is: 31,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.85 : 21,278.40 = 21,278.40 : x
  2. Step 2: Convert to fraction form
    14,228.85/21,278.40 = 21,278.40/x
  3. Step 3: Cross multiply
    14,228.85x = 21,278.40 × 21,278.40
  4. Step 4: Simplify right side
    14,228.85x = 452,770,281.62
  5. Step 5: Solve for x
    x = 452,770,281.62/14,228.85
  6. Step 6: Final answer
    x = 31,820.59

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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.