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Finding the Third Proportional to 7,845 and 18,154.50

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Solution

The third proportional to 7,845 and 18,154.50 is: 42,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 18,154.50 = 18,154.50 : x
  2. Step 2: Convert to fraction form
    7,845/18,154.50 = 18,154.50/x
  3. Step 3: Cross multiply
    7,845x = 18,154.50 × 18,154.50
  4. Step 4: Simplify right side
    7,845x = 329,585,870.25
  5. Step 5: Solve for x
    x = 329,585,870.25/7,845
  6. Step 6: Final answer
    x = 42,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.