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Finding the Third Proportional to 20,488.50 and 30,921

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Solution

The third proportional to 20,488.50 and 30,921 is: 46,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.50 : 30,921 = 30,921 : x
  2. Step 2: Convert to fraction form
    20,488.50/30,921 = 30,921/x
  3. Step 3: Cross multiply
    20,488.50x = 30,921 × 30,921
  4. Step 4: Simplify right side
    20,488.50x = 956,108,241
  5. Step 5: Solve for x
    x = 956,108,241/20,488.50
  6. Step 6: Final answer
    x = 46,665.60

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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.