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Finding the Third Proportional to 922.25 and 1,384.38

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Solution

The third proportional to 922.25 and 1,384.38 is: 2,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.25 : 1,384.38 = 1,384.38 : x
  2. Step 2: Convert to fraction form
    922.25/1,384.38 = 1,384.38/x
  3. Step 3: Cross multiply
    922.25x = 1,384.38 × 1,384.38
  4. Step 4: Simplify right side
    922.25x = 1,916,494.14
  5. Step 5: Solve for x
    x = 1,916,494.14/922.25
  6. Step 6: Final answer
    x = 2,078.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.