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Finding the Third Proportional to 74,078.25 and 117,678.75

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Solution

The third proportional to 74,078.25 and 117,678.75 is: 186,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078.25 : 117,678.75 = 117,678.75 : x
  2. Step 2: Convert to fraction form
    74,078.25/117,678.75 = 117,678.75/x
  3. Step 3: Cross multiply
    74,078.25x = 117,678.75 × 117,678.75
  4. Step 4: Simplify right side
    74,078.25x = 13,848,288,201.56
  5. Step 5: Solve for x
    x = 13,848,288,201.56/74,078.25
  6. Step 6: Final answer
    x = 186,941.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.