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Finding the Third Proportional to 33,288 and 72,453

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Solution

The third proportional to 33,288 and 72,453 is: 157,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,288 : 72,453 = 72,453 : x
  2. Step 2: Convert to fraction form
    33,288/72,453 = 72,453/x
  3. Step 3: Cross multiply
    33,288x = 72,453 × 72,453
  4. Step 4: Simplify right side
    33,288x = 5,249,437,209
  5. Step 5: Solve for x
    x = 5,249,437,209/33,288
  6. Step 6: Final answer
    x = 157,697.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.