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Finding the Third Proportional to 914.10 and 1,396.78

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Solution

The third proportional to 914.10 and 1,396.78 is: 2,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,396.78 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    914.10/1,396.78 = 1,396.78/x
  3. Step 3: Cross multiply
    914.10x = 1,396.78 × 1,396.78
  4. Step 4: Simplify right side
    914.10x = 1,950,981.49
  5. Step 5: Solve for x
    x = 1,950,981.49/914.10
  6. Step 6: Final answer
    x = 2,134.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.