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Finding the Third Proportional to 20,500 and 43,430

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Solution

The third proportional to 20,500 and 43,430 is: 92,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500 : 43,430 = 43,430 : x
  2. Step 2: Convert to fraction form
    20,500/43,430 = 43,430/x
  3. Step 3: Cross multiply
    20,500x = 43,430 × 43,430
  4. Step 4: Simplify right side
    20,500x = 1,886,164,900
  5. Step 5: Solve for x
    x = 1,886,164,900/20,500
  6. Step 6: Final answer
    x = 92,008.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.