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Finding the Third Proportional to 6,721.50 and 14,621.63

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Solution

The third proportional to 6,721.50 and 14,621.63 is: 31,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.50 : 14,621.63 = 14,621.63 : x
  2. Step 2: Convert to fraction form
    6,721.50/14,621.63 = 14,621.63/x
  3. Step 3: Cross multiply
    6,721.50x = 14,621.63 × 14,621.63
  4. Step 4: Simplify right side
    6,721.50x = 213,791,917.64
  5. Step 5: Solve for x
    x = 213,791,917.64/6,721.50
  6. Step 6: Final answer
    x = 31,807.17

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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.