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Finding the Third Proportional to 154,804 and 316,167

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Solution

The third proportional to 154,804 and 316,167 is: 645,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,804 : 316,167 = 316,167 : x
  2. Step 2: Convert to fraction form
    154,804/316,167 = 316,167/x
  3. Step 3: Cross multiply
    154,804x = 316,167 × 316,167
  4. Step 4: Simplify right side
    154,804x = 99,961,571,889
  5. Step 5: Solve for x
    x = 99,961,571,889/154,804
  6. Step 6: Final answer
    x = 645,729.90

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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.