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Finding the Third Proportional to 20,284 and 30,130

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Solution

The third proportional to 20,284 and 30,130 is: 44,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 30,130 = 30,130 : x
  2. Step 2: Convert to fraction form
    20,284/30,130 = 30,130/x
  3. Step 3: Cross multiply
    20,284x = 30,130 × 30,130
  4. Step 4: Simplify right side
    20,284x = 907,816,900
  5. Step 5: Solve for x
    x = 907,816,900/20,284
  6. Step 6: Final answer
    x = 44,755.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.