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Finding the Third Proportional to 12,805.13 and 27,715.88

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Solution

The third proportional to 12,805.13 and 27,715.88 is: 59,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.13 : 27,715.88 = 27,715.88 : x
  2. Step 2: Convert to fraction form
    12,805.13/27,715.88 = 27,715.88/x
  3. Step 3: Cross multiply
    12,805.13x = 27,715.88 × 27,715.88
  4. Step 4: Simplify right side
    12,805.13x = 768,169,727.02
  5. Step 5: Solve for x
    x = 768,169,727.02/12,805.13
  6. Step 6: Final answer
    x = 59,989.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.