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Finding the Third Proportional to 18,285.75 and 31,164.75

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Solution

The third proportional to 18,285.75 and 31,164.75 is: 53,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.75 : 31,164.75 = 31,164.75 : x
  2. Step 2: Convert to fraction form
    18,285.75/31,164.75 = 31,164.75/x
  3. Step 3: Cross multiply
    18,285.75x = 31,164.75 × 31,164.75
  4. Step 4: Simplify right side
    18,285.75x = 971,241,642.56
  5. Step 5: Solve for x
    x = 971,241,642.56/18,285.75
  6. Step 6: Final answer
    x = 53,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.