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Finding the Third Proportional to 77,883.19 and 116,694.84

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Solution

The third proportional to 77,883.19 and 116,694.84 is: 174,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,883.19 : 116,694.84 = 116,694.84 : x
  2. Step 2: Convert to fraction form
    77,883.19/116,694.84 = 116,694.84/x
  3. Step 3: Cross multiply
    77,883.19x = 116,694.84 × 116,694.84
  4. Step 4: Simplify right side
    77,883.19x = 13,617,686,557.84
  5. Step 5: Solve for x
    x = 13,617,686,557.84/77,883.19
  6. Step 6: Final answer
    x = 174,847.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.