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Finding the Third Proportional to 319,695 and 480,357

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Solution

The third proportional to 319,695 and 480,357 is: 721,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,695 : 480,357 = 480,357 : x
  2. Step 2: Convert to fraction form
    319,695/480,357 = 480,357/x
  3. Step 3: Cross multiply
    319,695x = 480,357 × 480,357
  4. Step 4: Simplify right side
    319,695x = 230,742,847,449
  5. Step 5: Solve for x
    x = 230,742,847,449/319,695
  6. Step 6: Final answer
    x = 721,759.33

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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.