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Finding the Third Proportional to 154,920.94 and 328,451.63

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Solution

The third proportional to 154,920.94 and 328,451.63 is: 696,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,920.94 : 328,451.63 = 328,451.63 : x
  2. Step 2: Convert to fraction form
    154,920.94/328,451.63 = 328,451.63/x
  3. Step 3: Cross multiply
    154,920.94x = 328,451.63 × 328,451.63
  4. Step 4: Simplify right side
    154,920.94x = 107,880,469,965.14
  5. Step 5: Solve for x
    x = 107,880,469,965.14/154,920.94
  6. Step 6: Final answer
    x = 696,358.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.