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Finding the Third Proportional to 12,723.47 and 18,705.09

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Solution

The third proportional to 12,723.47 and 18,705.09 is: 27,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.47 : 18,705.09 = 18,705.09 : x
  2. Step 2: Convert to fraction form
    12,723.47/18,705.09 = 18,705.09/x
  3. Step 3: Cross multiply
    12,723.47x = 18,705.09 × 18,705.09
  4. Step 4: Simplify right side
    12,723.47x = 349,880,532.20
  5. Step 5: Solve for x
    x = 349,880,532.20/12,723.47
  6. Step 6: Final answer
    x = 27,498.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.