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Finding the Third Proportional to 13,086 and 21,261

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Solution

The third proportional to 13,086 and 21,261 is: 34,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 21,261 = 21,261 : x
  2. Step 2: Convert to fraction form
    13,086/21,261 = 21,261/x
  3. Step 3: Cross multiply
    13,086x = 21,261 × 21,261
  4. Step 4: Simplify right side
    13,086x = 452,030,121
  5. Step 5: Solve for x
    x = 452,030,121/13,086
  6. Step 6: Final answer
    x = 34,543.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.