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Finding the Third Proportional to 10,300.50 and 20,595.94

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Solution

The third proportional to 10,300.50 and 20,595.94 is: 41,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.50 : 20,595.94 = 20,595.94 : x
  2. Step 2: Convert to fraction form
    10,300.50/20,595.94 = 20,595.94/x
  3. Step 3: Cross multiply
    10,300.50x = 20,595.94 × 20,595.94
  4. Step 4: Simplify right side
    10,300.50x = 424,192,641.50
  5. Step 5: Solve for x
    x = 424,192,641.50/10,300.50
  6. Step 6: Final answer
    x = 41,181.75

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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.