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Finding the Third Proportional to 319.50 and 707.44

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Solution

The third proportional to 319.50 and 707.44 is: 1,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 707.44 = 707.44 : x
  2. Step 2: Convert to fraction form
    319.50/707.44 = 707.44/x
  3. Step 3: Cross multiply
    319.50x = 707.44 × 707.44
  4. Step 4: Simplify right side
    319.50x = 500,467.82
  5. Step 5: Solve for x
    x = 500,467.82/319.50
  6. Step 6: Final answer
    x = 1,566.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.