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Finding the Third Proportional to 100,106.51 and 177,954.31

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Solution

The third proportional to 100,106.51 and 177,954.31 is: 316,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.51 : 177,954.31 = 177,954.31 : x
  2. Step 2: Convert to fraction form
    100,106.51/177,954.31 = 177,954.31/x
  3. Step 3: Cross multiply
    100,106.51x = 177,954.31 × 177,954.31
  4. Step 4: Simplify right side
    100,106.51x = 31,667,736,642.21
  5. Step 5: Solve for x
    x = 31,667,736,642.21/100,106.51
  6. Step 6: Final answer
    x = 316,340.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.