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Finding the Third Proportional to 149,904 and 319,229

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Solution

The third proportional to 149,904 and 319,229 is: 679,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,904 : 319,229 = 319,229 : x
  2. Step 2: Convert to fraction form
    149,904/319,229 = 319,229/x
  3. Step 3: Cross multiply
    149,904x = 319,229 × 319,229
  4. Step 4: Simplify right side
    149,904x = 101,907,154,441
  5. Step 5: Solve for x
    x = 101,907,154,441/149,904
  6. Step 6: Final answer
    x = 679,816.11

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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.