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Finding the Third Proportional to 20,736 and 45,358

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Solution

The third proportional to 20,736 and 45,358 is: 99,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736 : 45,358 = 45,358 : x
  2. Step 2: Convert to fraction form
    20,736/45,358 = 45,358/x
  3. Step 3: Cross multiply
    20,736x = 45,358 × 45,358
  4. Step 4: Simplify right side
    20,736x = 2,057,348,164
  5. Step 5: Solve for x
    x = 2,057,348,164/20,736
  6. Step 6: Final answer
    x = 99,216.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.