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Finding the Third Proportional to 319.95 and 434.34

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Solution

The third proportional to 319.95 and 434.34 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 434.34 = 434.34 : x
  2. Step 2: Convert to fraction form
    319.95/434.34 = 434.34/x
  3. Step 3: Cross multiply
    319.95x = 434.34 × 434.34
  4. Step 4: Simplify right side
    319.95x = 188,654.49
  5. Step 5: Solve for x
    x = 188,654.49/319.95
  6. Step 6: Final answer
    x = 589.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.