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Finding the Third Proportional to 692.30 and 1,045.41

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Solution

The third proportional to 692.30 and 1,045.41 is: 1,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,045.41 = 1,045.41 : x
  2. Step 2: Convert to fraction form
    692.30/1,045.41 = 1,045.41/x
  3. Step 3: Cross multiply
    692.30x = 1,045.41 × 1,045.41
  4. Step 4: Simplify right side
    692.30x = 1,092,874.23
  5. Step 5: Solve for x
    x = 1,092,874.23/692.30
  6. Step 6: Final answer
    x = 1,578.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.