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Finding the Third Proportional to 20,822.50 and 31,199.75

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Solution

The third proportional to 20,822.50 and 31,199.75 is: 46,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.50 : 31,199.75 = 31,199.75 : x
  2. Step 2: Convert to fraction form
    20,822.50/31,199.75 = 31,199.75/x
  3. Step 3: Cross multiply
    20,822.50x = 31,199.75 × 31,199.75
  4. Step 4: Simplify right side
    20,822.50x = 973,424,400.06
  5. Step 5: Solve for x
    x = 973,424,400.06/20,822.50
  6. Step 6: Final answer
    x = 46,748.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.