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Finding the Third Proportional to 319,271.06 and 480,247.31

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Solution

The third proportional to 319,271.06 and 480,247.31 is: 722,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,271.06 : 480,247.31 = 480,247.31 : x
  2. Step 2: Convert to fraction form
    319,271.06/480,247.31 = 480,247.31/x
  3. Step 3: Cross multiply
    319,271.06x = 480,247.31 × 480,247.31
  4. Step 4: Simplify right side
    319,271.06x = 230,637,481,163.47
  5. Step 5: Solve for x
    x = 230,637,481,163.47/319,271.06
  6. Step 6: Final answer
    x = 722,387.68

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