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Finding the Third Proportional to 3,162.80 and 4,840.07

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Solution

The third proportional to 3,162.80 and 4,840.07 is: 7,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.80 : 4,840.07 = 4,840.07 : x
  2. Step 2: Convert to fraction form
    3,162.80/4,840.07 = 4,840.07/x
  3. Step 3: Cross multiply
    3,162.80x = 4,840.07 × 4,840.07
  4. Step 4: Simplify right side
    3,162.80x = 23,426,242.82
  5. Step 5: Solve for x
    x = 23,426,242.82/3,162.80
  6. Step 6: Final answer
    x = 7,406.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.