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Finding the Third Proportional to 319,689 and 480,348

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Solution

The third proportional to 319,689 and 480,348 is: 721,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689 : 480,348 = 480,348 : x
  2. Step 2: Convert to fraction form
    319,689/480,348 = 480,348/x
  3. Step 3: Cross multiply
    319,689x = 480,348 × 480,348
  4. Step 4: Simplify right side
    319,689x = 230,734,201,104
  5. Step 5: Solve for x
    x = 230,734,201,104/319,689
  6. Step 6: Final answer
    x = 721,745.83

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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.