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Finding the Third Proportional to 319,358 and 444,039

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Solution

The third proportional to 319,358 and 444,039 is: 617,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,358 : 444,039 = 444,039 : x
  2. Step 2: Convert to fraction form
    319,358/444,039 = 444,039/x
  3. Step 3: Cross multiply
    319,358x = 444,039 × 444,039
  4. Step 4: Simplify right side
    319,358x = 197,170,633,521
  5. Step 5: Solve for x
    x = 197,170,633,521/319,358
  6. Step 6: Final answer
    x = 617,396.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.