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Finding the Third Proportional to 149,526 and 315,900

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Solution

The third proportional to 149,526 and 315,900 is: 667,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,526 : 315,900 = 315,900 : x
  2. Step 2: Convert to fraction form
    149,526/315,900 = 315,900/x
  3. Step 3: Cross multiply
    149,526x = 315,900 × 315,900
  4. Step 4: Simplify right side
    149,526x = 99,792,810,000
  5. Step 5: Solve for x
    x = 99,792,810,000/149,526
  6. Step 6: Final answer
    x = 667,394.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.