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Finding the Third Proportional to 20,158.50 and 30,933

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Solution

The third proportional to 20,158.50 and 30,933 is: 47,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.50 : 30,933 = 30,933 : x
  2. Step 2: Convert to fraction form
    20,158.50/30,933 = 30,933/x
  3. Step 3: Cross multiply
    20,158.50x = 30,933 × 30,933
  4. Step 4: Simplify right side
    20,158.50x = 956,850,489
  5. Step 5: Solve for x
    x = 956,850,489/20,158.50
  6. Step 6: Final answer
    x = 47,466.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.