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Finding the Third Proportional to 18,731 and 42,659

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Solution

The third proportional to 18,731 and 42,659 is: 97,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731 : 42,659 = 42,659 : x
  2. Step 2: Convert to fraction form
    18,731/42,659 = 42,659/x
  3. Step 3: Cross multiply
    18,731x = 42,659 × 42,659
  4. Step 4: Simplify right side
    18,731x = 1,819,790,281
  5. Step 5: Solve for x
    x = 1,819,790,281/18,731
  6. Step 6: Final answer
    x = 97,153.93

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.