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Finding the Third Proportional to 20,543 and 32,654

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Solution

The third proportional to 20,543 and 32,654 is: 51,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543 : 32,654 = 32,654 : x
  2. Step 2: Convert to fraction form
    20,543/32,654 = 32,654/x
  3. Step 3: Cross multiply
    20,543x = 32,654 × 32,654
  4. Step 4: Simplify right side
    20,543x = 1,066,283,716
  5. Step 5: Solve for x
    x = 1,066,283,716/20,543
  6. Step 6: Final answer
    x = 51,904.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.