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Finding the Third Proportional to 319,275 and 480,253

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Solution

The third proportional to 319,275 and 480,253 is: 722,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,275 : 480,253 = 480,253 : x
  2. Step 2: Convert to fraction form
    319,275/480,253 = 480,253/x
  3. Step 3: Cross multiply
    319,275x = 480,253 × 480,253
  4. Step 4: Simplify right side
    319,275x = 230,642,944,009
  5. Step 5: Solve for x
    x = 230,642,944,009/319,275
  6. Step 6: Final answer
    x = 722,395.88

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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.