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Finding the Third Proportional to 149,128 and 326,605

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Solution

The third proportional to 149,128 and 326,605 is: 715,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,128 : 326,605 = 326,605 : x
  2. Step 2: Convert to fraction form
    149,128/326,605 = 326,605/x
  3. Step 3: Cross multiply
    149,128x = 326,605 × 326,605
  4. Step 4: Simplify right side
    149,128x = 106,670,826,025
  5. Step 5: Solve for x
    x = 106,670,826,025/149,128
  6. Step 6: Final answer
    x = 715,297.10

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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.