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Finding the Third Proportional to 20,464.50 and 30,773

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Solution

The third proportional to 20,464.50 and 30,773 is: 46,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.50 : 30,773 = 30,773 : x
  2. Step 2: Convert to fraction form
    20,464.50/30,773 = 30,773/x
  3. Step 3: Cross multiply
    20,464.50x = 30,773 × 30,773
  4. Step 4: Simplify right side
    20,464.50x = 946,977,529
  5. Step 5: Solve for x
    x = 946,977,529/20,464.50
  6. Step 6: Final answer
    x = 46,274.16

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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.