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Finding the Third Proportional to 692.25 and 1,628.81

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Solution

The third proportional to 692.25 and 1,628.81 is: 3,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,628.81 = 1,628.81 : x
  2. Step 2: Convert to fraction form
    692.25/1,628.81 = 1,628.81/x
  3. Step 3: Cross multiply
    692.25x = 1,628.81 × 1,628.81
  4. Step 4: Simplify right side
    692.25x = 2,653,030.16
  5. Step 5: Solve for x
    x = 2,653,030.16/692.25
  6. Step 6: Final answer
    x = 3,832.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.