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Finding the Third Proportional to 4,990.50 and 10,867.13

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Solution

The third proportional to 4,990.50 and 10,867.13 is: 23,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.50 : 10,867.13 = 10,867.13 : x
  2. Step 2: Convert to fraction form
    4,990.50/10,867.13 = 10,867.13/x
  3. Step 3: Cross multiply
    4,990.50x = 10,867.13 × 10,867.13
  4. Step 4: Simplify right side
    4,990.50x = 118,094,405.77
  5. Step 5: Solve for x
    x = 118,094,405.77/4,990.50
  6. Step 6: Final answer
    x = 23,663.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.