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Finding the Third Proportional to 27,920 and 65,858

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Solution

The third proportional to 27,920 and 65,858 is: 155,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 65,858 = 65,858 : x
  2. Step 2: Convert to fraction form
    27,920/65,858 = 65,858/x
  3. Step 3: Cross multiply
    27,920x = 65,858 × 65,858
  4. Step 4: Simplify right side
    27,920x = 4,337,276,164
  5. Step 5: Solve for x
    x = 4,337,276,164/27,920
  6. Step 6: Final answer
    x = 155,346.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.