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Finding the Third Proportional to 5,952.66 and 13,840.88

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Solution

The third proportional to 5,952.66 and 13,840.88 is: 32,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.66 : 13,840.88 = 13,840.88 : x
  2. Step 2: Convert to fraction form
    5,952.66/13,840.88 = 13,840.88/x
  3. Step 3: Cross multiply
    5,952.66x = 13,840.88 × 13,840.88
  4. Step 4: Simplify right side
    5,952.66x = 191,569,820.77
  5. Step 5: Solve for x
    x = 191,569,820.77/5,952.66
  6. Step 6: Final answer
    x = 32,182.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.