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Finding the Third Proportional to 319,309.59 and 480,297.09

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Solution

The third proportional to 319,309.59 and 480,297.09 is: 722,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,309.59 : 480,297.09 = 480,297.09 : x
  2. Step 2: Convert to fraction form
    319,309.59/480,297.09 = 480,297.09/x
  3. Step 3: Cross multiply
    319,309.59x = 480,297.09 × 480,297.09
  4. Step 4: Simplify right side
    319,309.59x = 230,685,298,264.70
  5. Step 5: Solve for x
    x = 230,685,298,264.70/319,309.59
  6. Step 6: Final answer
    x = 722,450.26

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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.