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Finding the Third Proportional to 14,242 and 21,284

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Solution

The third proportional to 14,242 and 21,284 is: 31,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242 : 21,284 = 21,284 : x
  2. Step 2: Convert to fraction form
    14,242/21,284 = 21,284/x
  3. Step 3: Cross multiply
    14,242x = 21,284 × 21,284
  4. Step 4: Simplify right side
    14,242x = 453,008,656
  5. Step 5: Solve for x
    x = 453,008,656/14,242
  6. Step 6: Final answer
    x = 31,807.94

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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.