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Finding the Third Proportional to 433.78 and 948.47

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Solution

The third proportional to 433.78 and 948.47 is: 2,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.78 : 948.47 = 948.47 : x
  2. Step 2: Convert to fraction form
    433.78/948.47 = 948.47/x
  3. Step 3: Cross multiply
    433.78x = 948.47 × 948.47
  4. Step 4: Simplify right side
    433.78x = 899,592.97
  5. Step 5: Solve for x
    x = 899,592.97/433.78
  6. Step 6: Final answer
    x = 2,073.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.