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Finding the Third Proportional to 21,010.50 and 45,206.75

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Solution

The third proportional to 21,010.50 and 45,206.75 is: 97,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.50 : 45,206.75 = 45,206.75 : x
  2. Step 2: Convert to fraction form
    21,010.50/45,206.75 = 45,206.75/x
  3. Step 3: Cross multiply
    21,010.50x = 45,206.75 × 45,206.75
  4. Step 4: Simplify right side
    21,010.50x = 2,043,650,245.56
  5. Step 5: Solve for x
    x = 2,043,650,245.56/21,010.50
  6. Step 6: Final answer
    x = 97,268.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.