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Finding the Third Proportional to 149,880 and 326,208

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Solution

The third proportional to 149,880 and 326,208 is: 709,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,880 : 326,208 = 326,208 : x
  2. Step 2: Convert to fraction form
    149,880/326,208 = 326,208/x
  3. Step 3: Cross multiply
    149,880x = 326,208 × 326,208
  4. Step 4: Simplify right side
    149,880x = 106,411,659,264
  5. Step 5: Solve for x
    x = 106,411,659,264/149,880
  6. Step 6: Final answer
    x = 709,979.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.