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Finding the Third Proportional to 5,206.78 and 10,607.20

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Solution

The third proportional to 5,206.78 and 10,607.20 is: 21,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.78 : 10,607.20 = 10,607.20 : x
  2. Step 2: Convert to fraction form
    5,206.78/10,607.20 = 10,607.20/x
  3. Step 3: Cross multiply
    5,206.78x = 10,607.20 × 10,607.20
  4. Step 4: Simplify right side
    5,206.78x = 112,512,758.14
  5. Step 5: Solve for x
    x = 112,512,758.14/5,206.78
  6. Step 6: Final answer
    x = 21,608.89

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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.