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Finding the Third Proportional to 20,787 and 30,084.75

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Solution

The third proportional to 20,787 and 30,084.75 is: 43,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787 : 30,084.75 = 30,084.75 : x
  2. Step 2: Convert to fraction form
    20,787/30,084.75 = 30,084.75/x
  3. Step 3: Cross multiply
    20,787x = 30,084.75 × 30,084.75
  4. Step 4: Simplify right side
    20,787x = 905,092,182.56
  5. Step 5: Solve for x
    x = 905,092,182.56/20,787
  6. Step 6: Final answer
    x = 43,541.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.