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Finding the Third Proportional to 11,409 and 23,566.50

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Solution

The third proportional to 11,409 and 23,566.50 is: 48,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409 : 23,566.50 = 23,566.50 : x
  2. Step 2: Convert to fraction form
    11,409/23,566.50 = 23,566.50/x
  3. Step 3: Cross multiply
    11,409x = 23,566.50 × 23,566.50
  4. Step 4: Simplify right side
    11,409x = 555,379,922.25
  5. Step 5: Solve for x
    x = 555,379,922.25/11,409
  6. Step 6: Final answer
    x = 48,679.11

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.