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Finding the Third Proportional to 54,553.50 and 83,880.56

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Solution

The third proportional to 54,553.50 and 83,880.56 is: 128,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,553.50 : 83,880.56 = 83,880.56 : x
  2. Step 2: Convert to fraction form
    54,553.50/83,880.56 = 83,880.56/x
  3. Step 3: Cross multiply
    54,553.50x = 83,880.56 × 83,880.56
  4. Step 4: Simplify right side
    54,553.50x = 7,035,948,765.32
  5. Step 5: Solve for x
    x = 7,035,948,765.32/54,553.50
  6. Step 6: Final answer
    x = 128,973.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.