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Finding the Third Proportional to 5,210.58 and 8,079.75

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Solution

The third proportional to 5,210.58 and 8,079.75 is: 12,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.58 : 8,079.75 = 8,079.75 : x
  2. Step 2: Convert to fraction form
    5,210.58/8,079.75 = 8,079.75/x
  3. Step 3: Cross multiply
    5,210.58x = 8,079.75 × 8,079.75
  4. Step 4: Simplify right side
    5,210.58x = 65,282,360.06
  5. Step 5: Solve for x
    x = 65,282,360.06/5,210.58
  6. Step 6: Final answer
    x = 12,528.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.