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Finding the Third Proportional to 149,192 and 315,664

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Solution

The third proportional to 149,192 and 315,664 is: 667,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,192 : 315,664 = 315,664 : x
  2. Step 2: Convert to fraction form
    149,192/315,664 = 315,664/x
  3. Step 3: Cross multiply
    149,192x = 315,664 × 315,664
  4. Step 4: Simplify right side
    149,192x = 99,643,760,896
  5. Step 5: Solve for x
    x = 99,643,760,896/149,192
  6. Step 6: Final answer
    x = 667,889.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.