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Finding the Third Proportional to 290.81 and 434.67

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Solution

The third proportional to 290.81 and 434.67 is: 649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.81 : 434.67 = 434.67 : x
  2. Step 2: Convert to fraction form
    290.81/434.67 = 434.67/x
  3. Step 3: Cross multiply
    290.81x = 434.67 × 434.67
  4. Step 4: Simplify right side
    290.81x = 188,939.64
  5. Step 5: Solve for x
    x = 188,939.64/290.81
  6. Step 6: Final answer
    x = 649.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.