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Finding the Third Proportional to 38,120 and 54,462

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Solution

The third proportional to 38,120 and 54,462 is: 77,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,120 : 54,462 = 54,462 : x
  2. Step 2: Convert to fraction form
    38,120/54,462 = 54,462/x
  3. Step 3: Cross multiply
    38,120x = 54,462 × 54,462
  4. Step 4: Simplify right side
    38,120x = 2,966,109,444
  5. Step 5: Solve for x
    x = 2,966,109,444/38,120
  6. Step 6: Final answer
    x = 77,809.80

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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.