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Finding the Third Proportional to 16,302 and 21,531

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Solution

The third proportional to 16,302 and 21,531 is: 28,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302 : 21,531 = 21,531 : x
  2. Step 2: Convert to fraction form
    16,302/21,531 = 21,531/x
  3. Step 3: Cross multiply
    16,302x = 21,531 × 21,531
  4. Step 4: Simplify right side
    16,302x = 463,583,961
  5. Step 5: Solve for x
    x = 463,583,961/16,302
  6. Step 6: Final answer
    x = 28,437.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.