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Finding the Third Proportional to 19,871 and 40,653

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Solution

The third proportional to 19,871 and 40,653 is: 83,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871 : 40,653 = 40,653 : x
  2. Step 2: Convert to fraction form
    19,871/40,653 = 40,653/x
  3. Step 3: Cross multiply
    19,871x = 40,653 × 40,653
  4. Step 4: Simplify right side
    19,871x = 1,652,666,409
  5. Step 5: Solve for x
    x = 1,652,666,409/19,871
  6. Step 6: Final answer
    x = 83,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.