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Finding the Third Proportional to 150,111 and 319,293

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Solution

The third proportional to 150,111 and 319,293 is: 679,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,111 : 319,293 = 319,293 : x
  2. Step 2: Convert to fraction form
    150,111/319,293 = 319,293/x
  3. Step 3: Cross multiply
    150,111x = 319,293 × 319,293
  4. Step 4: Simplify right side
    150,111x = 101,948,019,849
  5. Step 5: Solve for x
    x = 101,948,019,849/150,111
  6. Step 6: Final answer
    x = 679,150.89

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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.