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Finding the Third Proportional to 149,210 and 231,379

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Solution

The third proportional to 149,210 and 231,379 is: 358,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,210 : 231,379 = 231,379 : x
  2. Step 2: Convert to fraction form
    149,210/231,379 = 231,379/x
  3. Step 3: Cross multiply
    149,210x = 231,379 × 231,379
  4. Step 4: Simplify right side
    149,210x = 53,536,241,641
  5. Step 5: Solve for x
    x = 53,536,241,641/149,210
  6. Step 6: Final answer
    x = 358,797.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.