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Finding the Third Proportional to 149,844 and 318,758

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Solution

The third proportional to 149,844 and 318,758 is: 678,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,844 : 318,758 = 318,758 : x
  2. Step 2: Convert to fraction form
    149,844/318,758 = 318,758/x
  3. Step 3: Cross multiply
    149,844x = 318,758 × 318,758
  4. Step 4: Simplify right side
    149,844x = 101,606,662,564
  5. Step 5: Solve for x
    x = 101,606,662,564/149,844
  6. Step 6: Final answer
    x = 678,082.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.