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Finding the Third Proportional to 319.22 and 468.70

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Solution

The third proportional to 319.22 and 468.70 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.22 : 468.70 = 468.70 : x
  2. Step 2: Convert to fraction form
    319.22/468.70 = 468.70/x
  3. Step 3: Cross multiply
    319.22x = 468.70 × 468.70
  4. Step 4: Simplify right side
    319.22x = 219,682.62
  5. Step 5: Solve for x
    x = 219,682.62/319.22
  6. Step 6: Final answer
    x = 688.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.