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Finding the Third Proportional to 10,855 and 16,280

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Solution

The third proportional to 10,855 and 16,280 is: 24,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855 : 16,280 = 16,280 : x
  2. Step 2: Convert to fraction form
    10,855/16,280 = 16,280/x
  3. Step 3: Cross multiply
    10,855x = 16,280 × 16,280
  4. Step 4: Simplify right side
    10,855x = 265,038,400
  5. Step 5: Solve for x
    x = 265,038,400/10,855
  6. Step 6: Final answer
    x = 24,416.25

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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.