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Finding the Third Proportional to 154,794 and 316,149.75

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Solution

The third proportional to 154,794 and 316,149.75 is: 645,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,794 : 316,149.75 = 316,149.75 : x
  2. Step 2: Convert to fraction form
    154,794/316,149.75 = 316,149.75/x
  3. Step 3: Cross multiply
    154,794x = 316,149.75 × 316,149.75
  4. Step 4: Simplify right side
    154,794x = 99,950,664,425.06
  5. Step 5: Solve for x
    x = 99,950,664,425.06/154,794
  6. Step 6: Final answer
    x = 645,701.15

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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.