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Finding the Third Proportional to 434.74 and 692.30

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Solution

The third proportional to 434.74 and 692.30 is: 1,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 692.30 = 692.30 : x
  2. Step 2: Convert to fraction form
    434.74/692.30 = 692.30/x
  3. Step 3: Cross multiply
    434.74x = 692.30 × 692.30
  4. Step 4: Simplify right side
    434.74x = 479,274.96
  5. Step 5: Solve for x
    x = 479,274.96/434.74
  6. Step 6: Final answer
    x = 1,102.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.