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Finding the Third Proportional to 5,200.03 and 11,570.77

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Solution

The third proportional to 5,200.03 and 11,570.77 is: 25,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.03 : 11,570.77 = 11,570.77 : x
  2. Step 2: Convert to fraction form
    5,200.03/11,570.77 = 11,570.77/x
  3. Step 3: Cross multiply
    5,200.03x = 11,570.77 × 11,570.77
  4. Step 4: Simplify right side
    5,200.03x = 133,882,617.15
  5. Step 5: Solve for x
    x = 133,882,617.15/5,200.03
  6. Step 6: Final answer
    x = 25,746.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.