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Finding the Third Proportional to 5,135.06 and 7,758.28

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Solution

The third proportional to 5,135.06 and 7,758.28 is: 11,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.06 : 7,758.28 = 7,758.28 : x
  2. Step 2: Convert to fraction form
    5,135.06/7,758.28 = 7,758.28/x
  3. Step 3: Cross multiply
    5,135.06x = 7,758.28 × 7,758.28
  4. Step 4: Simplify right side
    5,135.06x = 60,190,927.95
  5. Step 5: Solve for x
    x = 60,190,927.95/5,135.06
  6. Step 6: Final answer
    x = 11,721.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.