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Finding the Third Proportional to 149,910 and 319,242

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Solution

The third proportional to 149,910 and 319,242 is: 679,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,910 : 319,242 = 319,242 : x
  2. Step 2: Convert to fraction form
    149,910/319,242 = 319,242/x
  3. Step 3: Cross multiply
    149,910x = 319,242 × 319,242
  4. Step 4: Simplify right side
    149,910x = 101,915,454,564
  5. Step 5: Solve for x
    x = 101,915,454,564/149,910
  6. Step 6: Final answer
    x = 679,844.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.