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Finding the Third Proportional to 20,570 and 31,081

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Solution

The third proportional to 20,570 and 31,081 is: 46,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570 : 31,081 = 31,081 : x
  2. Step 2: Convert to fraction form
    20,570/31,081 = 31,081/x
  3. Step 3: Cross multiply
    20,570x = 31,081 × 31,081
  4. Step 4: Simplify right side
    20,570x = 966,028,561
  5. Step 5: Solve for x
    x = 966,028,561/20,570
  6. Step 6: Final answer
    x = 46,962.98

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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.