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Finding the Third Proportional to 4,811.91 and 10,128.80

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Solution

The third proportional to 4,811.91 and 10,128.80 is: 21,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.91 : 10,128.80 = 10,128.80 : x
  2. Step 2: Convert to fraction form
    4,811.91/10,128.80 = 10,128.80/x
  3. Step 3: Cross multiply
    4,811.91x = 10,128.80 × 10,128.80
  4. Step 4: Simplify right side
    4,811.91x = 102,592,526.14
  5. Step 5: Solve for x
    x = 102,592,526.14/4,811.91
  6. Step 6: Final answer
    x = 21,320.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.