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Finding the Third Proportional to 149,640 and 328,928

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Solution

The third proportional to 149,640 and 328,928 is: 723,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,640 : 328,928 = 328,928 : x
  2. Step 2: Convert to fraction form
    149,640/328,928 = 328,928/x
  3. Step 3: Cross multiply
    149,640x = 328,928 × 328,928
  4. Step 4: Simplify right side
    149,640x = 108,193,629,184
  5. Step 5: Solve for x
    x = 108,193,629,184/149,640
  6. Step 6: Final answer
    x = 723,026.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.