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Finding the Third Proportional to 14,220 and 30,991

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Solution

The third proportional to 14,220 and 30,991 is: 67,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 30,991 = 30,991 : x
  2. Step 2: Convert to fraction form
    14,220/30,991 = 30,991/x
  3. Step 3: Cross multiply
    14,220x = 30,991 × 30,991
  4. Step 4: Simplify right side
    14,220x = 960,442,081
  5. Step 5: Solve for x
    x = 960,442,081/14,220
  6. Step 6: Final answer
    x = 67,541.64

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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.