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Finding the Third Proportional to 914.84 and 1,620.42

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Solution

The third proportional to 914.84 and 1,620.42 is: 2,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.84 : 1,620.42 = 1,620.42 : x
  2. Step 2: Convert to fraction form
    914.84/1,620.42 = 1,620.42/x
  3. Step 3: Cross multiply
    914.84x = 1,620.42 × 1,620.42
  4. Step 4: Simplify right side
    914.84x = 2,625,767.05
  5. Step 5: Solve for x
    x = 2,625,767.05/914.84
  6. Step 6: Final answer
    x = 2,870.21

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.