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Finding the Third Proportional to 2,905.50 and 6,987.75

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Solution

The third proportional to 2,905.50 and 6,987.75 is: 16,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.50 : 6,987.75 = 6,987.75 : x
  2. Step 2: Convert to fraction form
    2,905.50/6,987.75 = 6,987.75/x
  3. Step 3: Cross multiply
    2,905.50x = 6,987.75 × 6,987.75
  4. Step 4: Simplify right side
    2,905.50x = 48,828,650.06
  5. Step 5: Solve for x
    x = 48,828,650.06/2,905.50
  6. Step 6: Final answer
    x = 16,805.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.