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Finding the Third Proportional to 149,385 and 326,742

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Solution

The third proportional to 149,385 and 326,742 is: 714,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,385 : 326,742 = 326,742 : x
  2. Step 2: Convert to fraction form
    149,385/326,742 = 326,742/x
  3. Step 3: Cross multiply
    149,385x = 326,742 × 326,742
  4. Step 4: Simplify right side
    149,385x = 106,760,334,564
  5. Step 5: Solve for x
    x = 106,760,334,564/149,385
  6. Step 6: Final answer
    x = 714,665.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.