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Finding the Third Proportional to 5,160 and 8,080.50

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Solution

The third proportional to 5,160 and 8,080.50 is: 12,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160 : 8,080.50 = 8,080.50 : x
  2. Step 2: Convert to fraction form
    5,160/8,080.50 = 8,080.50/x
  3. Step 3: Cross multiply
    5,160x = 8,080.50 × 8,080.50
  4. Step 4: Simplify right side
    5,160x = 65,294,480.25
  5. Step 5: Solve for x
    x = 65,294,480.25/5,160
  6. Step 6: Final answer
    x = 12,653.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.