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Finding the Third Proportional to 298.65 and 438.18

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Solution

The third proportional to 298.65 and 438.18 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 438.18 = 438.18 : x
  2. Step 2: Convert to fraction form
    298.65/438.18 = 438.18/x
  3. Step 3: Cross multiply
    298.65x = 438.18 × 438.18
  4. Step 4: Simplify right side
    298.65x = 192,004.43
  5. Step 5: Solve for x
    x = 192,004.43/298.65
  6. Step 6: Final answer
    x = 642.91

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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.