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Finding the Third Proportional to 20,488 and 30,920.44

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Solution

The third proportional to 20,488 and 30,920.44 is: 46,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488 : 30,920.44 = 30,920.44 : x
  2. Step 2: Convert to fraction form
    20,488/30,920.44 = 30,920.44/x
  3. Step 3: Cross multiply
    20,488x = 30,920.44 × 30,920.44
  4. Step 4: Simplify right side
    20,488x = 956,073,455.19
  5. Step 5: Solve for x
    x = 956,073,455.19/20,488
  6. Step 6: Final answer
    x = 46,665.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.