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Finding the Third Proportional to 20,391 and 30,207.50

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Solution

The third proportional to 20,391 and 30,207.50 is: 44,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391 : 30,207.50 = 30,207.50 : x
  2. Step 2: Convert to fraction form
    20,391/30,207.50 = 30,207.50/x
  3. Step 3: Cross multiply
    20,391x = 30,207.50 × 30,207.50
  4. Step 4: Simplify right side
    20,391x = 912,493,056.25
  5. Step 5: Solve for x
    x = 912,493,056.25/20,391
  6. Step 6: Final answer
    x = 44,749.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.