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Finding the Third Proportional to 154,788.75 and 316,137.38

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Solution

The third proportional to 154,788.75 and 316,137.38 is: 645,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,788.75 : 316,137.38 = 316,137.38 : x
  2. Step 2: Convert to fraction form
    154,788.75/316,137.38 = 316,137.38/x
  3. Step 3: Cross multiply
    154,788.75x = 316,137.38 × 316,137.38
  4. Step 4: Simplify right side
    154,788.75x = 99,942,839,871.89
  5. Step 5: Solve for x
    x = 99,942,839,871.89/154,788.75
  6. Step 6: Final answer
    x = 645,672.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.