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Finding the Third Proportional to 149,626 and 326,036

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Solution

The third proportional to 149,626 and 326,036 is: 710,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,626 : 326,036 = 326,036 : x
  2. Step 2: Convert to fraction form
    149,626/326,036 = 326,036/x
  3. Step 3: Cross multiply
    149,626x = 326,036 × 326,036
  4. Step 4: Simplify right side
    149,626x = 106,299,473,296
  5. Step 5: Solve for x
    x = 106,299,473,296/149,626
  6. Step 6: Final answer
    x = 710,434.51

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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.