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Finding the Third Proportional to 20,284 and 30,702

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Solution

The third proportional to 20,284 and 30,702 is: 46,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 30,702 = 30,702 : x
  2. Step 2: Convert to fraction form
    20,284/30,702 = 30,702/x
  3. Step 3: Cross multiply
    20,284x = 30,702 × 30,702
  4. Step 4: Simplify right side
    20,284x = 942,612,804
  5. Step 5: Solve for x
    x = 942,612,804/20,284
  6. Step 6: Final answer
    x = 46,470.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.