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Finding the Third Proportional to 20,806 and 31,473

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Solution

The third proportional to 20,806 and 31,473 is: 47,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 31,473 = 31,473 : x
  2. Step 2: Convert to fraction form
    20,806/31,473 = 31,473/x
  3. Step 3: Cross multiply
    20,806x = 31,473 × 31,473
  4. Step 4: Simplify right side
    20,806x = 990,549,729
  5. Step 5: Solve for x
    x = 990,549,729/20,806
  6. Step 6: Final answer
    x = 47,608.85

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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.