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Finding the Third Proportional to 332.44 and 488.72

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Solution

The third proportional to 332.44 and 488.72 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 488.72 = 488.72 : x
  2. Step 2: Convert to fraction form
    332.44/488.72 = 488.72/x
  3. Step 3: Cross multiply
    332.44x = 488.72 × 488.72
  4. Step 4: Simplify right side
    332.44x = 238,846.02
  5. Step 5: Solve for x
    x = 238,846.02/332.44
  6. Step 6: Final answer
    x = 718.47

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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.