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Finding the Third Proportional to 10,200 and 13,646

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Solution

The third proportional to 10,200 and 13,646 is: 18,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 13,646 = 13,646 : x
  2. Step 2: Convert to fraction form
    10,200/13,646 = 13,646/x
  3. Step 3: Cross multiply
    10,200x = 13,646 × 13,646
  4. Step 4: Simplify right side
    10,200x = 186,213,316
  5. Step 5: Solve for x
    x = 186,213,316/10,200
  6. Step 6: Final answer
    x = 18,256.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.