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Finding the Third Proportional to 7,801.31 and 11,934.84

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Solution

The third proportional to 7,801.31 and 11,934.84 is: 18,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.31 : 11,934.84 = 11,934.84 : x
  2. Step 2: Convert to fraction form
    7,801.31/11,934.84 = 11,934.84/x
  3. Step 3: Cross multiply
    7,801.31x = 11,934.84 × 11,934.84
  4. Step 4: Simplify right side
    7,801.31x = 142,440,495.34
  5. Step 5: Solve for x
    x = 142,440,495.34/7,801.31
  6. Step 6: Final answer
    x = 18,258.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.