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Finding the Third Proportional to 18,768 and 31,284

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Solution

The third proportional to 18,768 and 31,284 is: 52,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768 : 31,284 = 31,284 : x
  2. Step 2: Convert to fraction form
    18,768/31,284 = 31,284/x
  3. Step 3: Cross multiply
    18,768x = 31,284 × 31,284
  4. Step 4: Simplify right side
    18,768x = 978,688,656
  5. Step 5: Solve for x
    x = 978,688,656/18,768
  6. Step 6: Final answer
    x = 52,146.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.