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Finding the Third Proportional to 15,324 and 20,196

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Solution

The third proportional to 15,324 and 20,196 is: 26,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324 : 20,196 = 20,196 : x
  2. Step 2: Convert to fraction form
    15,324/20,196 = 20,196/x
  3. Step 3: Cross multiply
    15,324x = 20,196 × 20,196
  4. Step 4: Simplify right side
    15,324x = 407,878,416
  5. Step 5: Solve for x
    x = 407,878,416/15,324
  6. Step 6: Final answer
    x = 26,616.97

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1.5x scale

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.