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Finding the Third Proportional to 20,315 and 30,837

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Solution

The third proportional to 20,315 and 30,837 is: 46,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315 : 30,837 = 30,837 : x
  2. Step 2: Convert to fraction form
    20,315/30,837 = 30,837/x
  3. Step 3: Cross multiply
    20,315x = 30,837 × 30,837
  4. Step 4: Simplify right side
    20,315x = 950,920,569
  5. Step 5: Solve for x
    x = 950,920,569/20,315
  6. Step 6: Final answer
    x = 46,808.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.