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Finding the Third Proportional to 521.65 and 692.51

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Solution

The third proportional to 521.65 and 692.51 is: 919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.65 : 692.51 = 692.51 : x
  2. Step 2: Convert to fraction form
    521.65/692.51 = 692.51/x
  3. Step 3: Cross multiply
    521.65x = 692.51 × 692.51
  4. Step 4: Simplify right side
    521.65x = 479,567.07
  5. Step 5: Solve for x
    x = 479,567.07/521.65
  6. Step 6: Final answer
    x = 919.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.