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Finding the Third Proportional to 3,077.50 and 6,718.88

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Solution

The third proportional to 3,077.50 and 6,718.88 is: 14,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.50 : 6,718.88 = 6,718.88 : x
  2. Step 2: Convert to fraction form
    3,077.50/6,718.88 = 6,718.88/x
  3. Step 3: Cross multiply
    3,077.50x = 6,718.88 × 6,718.88
  4. Step 4: Simplify right side
    3,077.50x = 45,143,281.27
  5. Step 5: Solve for x
    x = 45,143,281.27/3,077.50
  6. Step 6: Final answer
    x = 14,668.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.