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Finding the Third Proportional to 65,306.25 and 133,380

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Solution

The third proportional to 65,306.25 and 133,380 is: 272,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.25 : 133,380 = 133,380 : x
  2. Step 2: Convert to fraction form
    65,306.25/133,380 = 133,380/x
  3. Step 3: Cross multiply
    65,306.25x = 133,380 × 133,380
  4. Step 4: Simplify right side
    65,306.25x = 17,790,224,400
  5. Step 5: Solve for x
    x = 17,790,224,400/65,306.25
  6. Step 6: Final answer
    x = 272,412.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.