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Finding the Third Proportional to 6,988.78 and 14,448.38

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Solution

The third proportional to 6,988.78 and 14,448.38 is: 29,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.78 : 14,448.38 = 14,448.38 : x
  2. Step 2: Convert to fraction form
    6,988.78/14,448.38 = 14,448.38/x
  3. Step 3: Cross multiply
    6,988.78x = 14,448.38 × 14,448.38
  4. Step 4: Simplify right side
    6,988.78x = 208,755,540.14
  5. Step 5: Solve for x
    x = 208,755,540.14/6,988.78
  6. Step 6: Final answer
    x = 29,870.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.