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Finding the Third Proportional to 152,638 and 319,208

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Solution

The third proportional to 152,638 and 319,208 is: 667,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,638 : 319,208 = 319,208 : x
  2. Step 2: Convert to fraction form
    152,638/319,208 = 319,208/x
  3. Step 3: Cross multiply
    152,638x = 319,208 × 319,208
  4. Step 4: Simplify right side
    152,638x = 101,893,747,264
  5. Step 5: Solve for x
    x = 101,893,747,264/152,638
  6. Step 6: Final answer
    x = 667,551.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.