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Finding the Third Proportional to 20,460 and 30,765.75

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Solution

The third proportional to 20,460 and 30,765.75 is: 46,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460 : 30,765.75 = 30,765.75 : x
  2. Step 2: Convert to fraction form
    20,460/30,765.75 = 30,765.75/x
  3. Step 3: Cross multiply
    20,460x = 30,765.75 × 30,765.75
  4. Step 4: Simplify right side
    20,460x = 946,531,373.06
  5. Step 5: Solve for x
    x = 946,531,373.06/20,460
  6. Step 6: Final answer
    x = 46,262.53

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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.