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Finding the Third Proportional to 38,264 and 54,780

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Solution

The third proportional to 38,264 and 54,780 is: 78,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,264 : 54,780 = 54,780 : x
  2. Step 2: Convert to fraction form
    38,264/54,780 = 54,780/x
  3. Step 3: Cross multiply
    38,264x = 54,780 × 54,780
  4. Step 4: Simplify right side
    38,264x = 3,000,848,400
  5. Step 5: Solve for x
    x = 3,000,848,400/38,264
  6. Step 6: Final answer
    x = 78,424.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.