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Finding the Third Proportional to 38,653 and 81,453

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Solution

The third proportional to 38,653 and 81,453 is: 171,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653 : 81,453 = 81,453 : x
  2. Step 2: Convert to fraction form
    38,653/81,453 = 81,453/x
  3. Step 3: Cross multiply
    38,653x = 81,453 × 81,453
  4. Step 4: Simplify right side
    38,653x = 6,634,591,209
  5. Step 5: Solve for x
    x = 6,634,591,209/38,653
  6. Step 6: Final answer
    x = 171,644.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.