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Finding the Third Proportional to 20,513.81 and 40,951.13

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Solution

The third proportional to 20,513.81 and 40,951.13 is: 81,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.81 : 40,951.13 = 40,951.13 : x
  2. Step 2: Convert to fraction form
    20,513.81/40,951.13 = 40,951.13/x
  3. Step 3: Cross multiply
    20,513.81x = 40,951.13 × 40,951.13
  4. Step 4: Simplify right side
    20,513.81x = 1,676,994,638.77
  5. Step 5: Solve for x
    x = 1,676,994,638.77/20,513.81
  6. Step 6: Final answer
    x = 81,749.54

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.