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Finding the Third Proportional to 77,982.75 and 116,454.38

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Solution

The third proportional to 77,982.75 and 116,454.38 is: 173,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.75 : 116,454.38 = 116,454.38 : x
  2. Step 2: Convert to fraction form
    77,982.75/116,454.38 = 116,454.38/x
  3. Step 3: Cross multiply
    77,982.75x = 116,454.38 × 116,454.38
  4. Step 4: Simplify right side
    77,982.75x = 13,561,621,456.64
  5. Step 5: Solve for x
    x = 13,561,621,456.64/77,982.75
  6. Step 6: Final answer
    x = 173,905.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.