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Finding the Third Proportional to 4,990.99 and 7,708.61

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Solution

The third proportional to 4,990.99 and 7,708.61 is: 11,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.99 : 7,708.61 = 7,708.61 : x
  2. Step 2: Convert to fraction form
    4,990.99/7,708.61 = 7,708.61/x
  3. Step 3: Cross multiply
    4,990.99x = 7,708.61 × 7,708.61
  4. Step 4: Simplify right side
    4,990.99x = 59,422,598.27
  5. Step 5: Solve for x
    x = 59,422,598.27/4,990.99
  6. Step 6: Final answer
    x = 11,905.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.