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Finding the Third Proportional to 54,454 and 81,678

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Solution

The third proportional to 54,454 and 81,678 is: 122,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,454 : 81,678 = 81,678 : x
  2. Step 2: Convert to fraction form
    54,454/81,678 = 81,678/x
  3. Step 3: Cross multiply
    54,454x = 81,678 × 81,678
  4. Step 4: Simplify right side
    54,454x = 6,671,295,684
  5. Step 5: Solve for x
    x = 6,671,295,684/54,454
  6. Step 6: Final answer
    x = 122,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.