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Finding the Third Proportional to 54,448 and 84,122.50

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Solution

The third proportional to 54,448 and 84,122.50 is: 129,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,448 : 84,122.50 = 84,122.50 : x
  2. Step 2: Convert to fraction form
    54,448/84,122.50 = 84,122.50/x
  3. Step 3: Cross multiply
    54,448x = 84,122.50 × 84,122.50
  4. Step 4: Simplify right side
    54,448x = 7,076,595,006.25
  5. Step 5: Solve for x
    x = 7,076,595,006.25/54,448
  6. Step 6: Final answer
    x = 129,969.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.