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Finding the Third Proportional to 319,694 and 480,356

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Solution

The third proportional to 319,694 and 480,356 is: 721,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,694 : 480,356 = 480,356 : x
  2. Step 2: Convert to fraction form
    319,694/480,356 = 480,356/x
  3. Step 3: Cross multiply
    319,694x = 480,356 × 480,356
  4. Step 4: Simplify right side
    319,694x = 230,741,886,736
  5. Step 5: Solve for x
    x = 230,741,886,736/319,694
  6. Step 6: Final answer
    x = 721,758.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.