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Finding the Third Proportional to 2,172.94 and 4,692.30

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Solution

The third proportional to 2,172.94 and 4,692.30 is: 10,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.94 : 4,692.30 = 4,692.30 : x
  2. Step 2: Convert to fraction form
    2,172.94/4,692.30 = 4,692.30/x
  3. Step 3: Cross multiply
    2,172.94x = 4,692.30 × 4,692.30
  4. Step 4: Simplify right side
    2,172.94x = 22,017,723.28
  5. Step 5: Solve for x
    x = 22,017,723.28/2,172.94
  6. Step 6: Final answer
    x = 10,132.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.