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Finding the Third Proportional to 20,927.64 and 31,438.44

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Solution

The third proportional to 20,927.64 and 31,438.44 is: 47,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,927.64 : 31,438.44 = 31,438.44 : x
  2. Step 2: Convert to fraction form
    20,927.64/31,438.44 = 31,438.44/x
  3. Step 3: Cross multiply
    20,927.64x = 31,438.44 × 31,438.44
  4. Step 4: Simplify right side
    20,927.64x = 988,375,598.05
  5. Step 5: Solve for x
    x = 988,375,598.05/20,927.64
  6. Step 6: Final answer
    x = 47,228.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.