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Finding the Third Proportional to 27,720 and 43,008

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Solution

The third proportional to 27,720 and 43,008 is: 66,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 43,008 = 43,008 : x
  2. Step 2: Convert to fraction form
    27,720/43,008 = 43,008/x
  3. Step 3: Cross multiply
    27,720x = 43,008 × 43,008
  4. Step 4: Simplify right side
    27,720x = 1,849,688,064
  5. Step 5: Solve for x
    x = 1,849,688,064/27,720
  6. Step 6: Final answer
    x = 66,727.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.