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Finding the Third Proportional to 451.78 and 934.78

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Solution

The third proportional to 451.78 and 934.78 is: 1,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.78 : 934.78 = 934.78 : x
  2. Step 2: Convert to fraction form
    451.78/934.78 = 934.78/x
  3. Step 3: Cross multiply
    451.78x = 934.78 × 934.78
  4. Step 4: Simplify right side
    451.78x = 873,815.99
  5. Step 5: Solve for x
    x = 873,815.99/451.78
  6. Step 6: Final answer
    x = 1,934.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.