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Finding the Third Proportional to 100,821.94 and 154,757.81

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Solution

The third proportional to 100,821.94 and 154,757.81 is: 237,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821.94 : 154,757.81 = 154,757.81 : x
  2. Step 2: Convert to fraction form
    100,821.94/154,757.81 = 154,757.81/x
  3. Step 3: Cross multiply
    100,821.94x = 154,757.81 × 154,757.81
  4. Step 4: Simplify right side
    100,821.94x = 23,949,980,529.79
  5. Step 5: Solve for x
    x = 23,949,980,529.79/100,821.94
  6. Step 6: Final answer
    x = 237,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.