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Finding the Third Proportional to 20,787 and 45,462

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Solution

The third proportional to 20,787 and 45,462 is: 99,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787 : 45,462 = 45,462 : x
  2. Step 2: Convert to fraction form
    20,787/45,462 = 45,462/x
  3. Step 3: Cross multiply
    20,787x = 45,462 × 45,462
  4. Step 4: Simplify right side
    20,787x = 2,066,793,444
  5. Step 5: Solve for x
    x = 2,066,793,444/20,787
  6. Step 6: Final answer
    x = 99,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.