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Finding the Third Proportional to 3,215.81 and 6,521.06

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Solution

The third proportional to 3,215.81 and 6,521.06 is: 13,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.81 : 6,521.06 = 6,521.06 : x
  2. Step 2: Convert to fraction form
    3,215.81/6,521.06 = 6,521.06/x
  3. Step 3: Cross multiply
    3,215.81x = 6,521.06 × 6,521.06
  4. Step 4: Simplify right side
    3,215.81x = 42,524,256.13
  5. Step 5: Solve for x
    x = 42,524,256.13/3,215.81
  6. Step 6: Final answer
    x = 13,223.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.