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Finding the Third Proportional to 37,816 and 54,128

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Solution

The third proportional to 37,816 and 54,128 is: 77,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,816 : 54,128 = 54,128 : x
  2. Step 2: Convert to fraction form
    37,816/54,128 = 54,128/x
  3. Step 3: Cross multiply
    37,816x = 54,128 × 54,128
  4. Step 4: Simplify right side
    37,816x = 2,929,840,384
  5. Step 5: Solve for x
    x = 2,929,840,384/37,816
  6. Step 6: Final answer
    x = 77,476.21

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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.