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Finding the Third Proportional to 54,321.88 and 117,688.13

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Solution

The third proportional to 54,321.88 and 117,688.13 is: 254,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321.88 : 117,688.13 = 117,688.13 : x
  2. Step 2: Convert to fraction form
    54,321.88/117,688.13 = 117,688.13/x
  3. Step 3: Cross multiply
    54,321.88x = 117,688.13 × 117,688.13
  4. Step 4: Simplify right side
    54,321.88x = 13,850,494,766.02
  5. Step 5: Solve for x
    x = 13,850,494,766.02/54,321.88
  6. Step 6: Final answer
    x = 254,970.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.