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Finding the Third Proportional to 319,305 and 480,290

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Solution

The third proportional to 319,305 and 480,290 is: 722,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,305 : 480,290 = 480,290 : x
  2. Step 2: Convert to fraction form
    319,305/480,290 = 480,290/x
  3. Step 3: Cross multiply
    319,305x = 480,290 × 480,290
  4. Step 4: Simplify right side
    319,305x = 230,678,484,100
  5. Step 5: Solve for x
    x = 230,678,484,100/319,305
  6. Step 6: Final answer
    x = 722,439.31

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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.