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Finding the Third Proportional to 149,726 and 328,156

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Solution

The third proportional to 149,726 and 328,156 is: 719,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 328,156 = 328,156 : x
  2. Step 2: Convert to fraction form
    149,726/328,156 = 328,156/x
  3. Step 3: Cross multiply
    149,726x = 328,156 × 328,156
  4. Step 4: Simplify right side
    149,726x = 107,686,360,336
  5. Step 5: Solve for x
    x = 107,686,360,336/149,726
  6. Step 6: Final answer
    x = 719,222.85

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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.