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Finding the Third Proportional to 7,783.13 and 12,084.75

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Solution

The third proportional to 7,783.13 and 12,084.75 is: 18,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.13 : 12,084.75 = 12,084.75 : x
  2. Step 2: Convert to fraction form
    7,783.13/12,084.75 = 12,084.75/x
  3. Step 3: Cross multiply
    7,783.13x = 12,084.75 × 12,084.75
  4. Step 4: Simplify right side
    7,783.13x = 146,041,182.56
  5. Step 5: Solve for x
    x = 146,041,182.56/7,783.13
  6. Step 6: Final answer
    x = 18,763.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.