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Finding the Third Proportional to 14,284 and 21,345

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Solution

The third proportional to 14,284 and 21,345 is: 31,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284 : 21,345 = 21,345 : x
  2. Step 2: Convert to fraction form
    14,284/21,345 = 21,345/x
  3. Step 3: Cross multiply
    14,284x = 21,345 × 21,345
  4. Step 4: Simplify right side
    14,284x = 455,609,025
  5. Step 5: Solve for x
    x = 455,609,025/14,284
  6. Step 6: Final answer
    x = 31,896.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.