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Finding the Third Proportional to 27,090 and 43,259

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Solution

The third proportional to 27,090 and 43,259 is: 69,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090 : 43,259 = 43,259 : x
  2. Step 2: Convert to fraction form
    27,090/43,259 = 43,259/x
  3. Step 3: Cross multiply
    27,090x = 43,259 × 43,259
  4. Step 4: Simplify right side
    27,090x = 1,871,341,081
  5. Step 5: Solve for x
    x = 1,871,341,081/27,090
  6. Step 6: Final answer
    x = 69,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.