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Finding the Third Proportional to 154,844 and 316,252

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Solution

The third proportional to 154,844 and 316,252 is: 645,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,844 : 316,252 = 316,252 : x
  2. Step 2: Convert to fraction form
    154,844/316,252 = 316,252/x
  3. Step 3: Cross multiply
    154,844x = 316,252 × 316,252
  4. Step 4: Simplify right side
    154,844x = 100,015,327,504
  5. Step 5: Solve for x
    x = 100,015,327,504/154,844
  6. Step 6: Final answer
    x = 645,910.25

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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.