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Finding the Third Proportional to 916.88 and 1,992.38

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Solution

The third proportional to 916.88 and 1,992.38 is: 4,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.88 : 1,992.38 = 1,992.38 : x
  2. Step 2: Convert to fraction form
    916.88/1,992.38 = 1,992.38/x
  3. Step 3: Cross multiply
    916.88x = 1,992.38 × 1,992.38
  4. Step 4: Simplify right side
    916.88x = 3,969,558.14
  5. Step 5: Solve for x
    x = 3,969,558.14/916.88
  6. Step 6: Final answer
    x = 4,329.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.