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Finding the Third Proportional to 5,210 and 10,612.75

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Solution

The third proportional to 5,210 and 10,612.75 is: 21,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210 : 10,612.75 = 10,612.75 : x
  2. Step 2: Convert to fraction form
    5,210/10,612.75 = 10,612.75/x
  3. Step 3: Cross multiply
    5,210x = 10,612.75 × 10,612.75
  4. Step 4: Simplify right side
    5,210x = 112,630,462.56
  5. Step 5: Solve for x
    x = 112,630,462.56/5,210
  6. Step 6: Final answer
    x = 21,618.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.