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Finding the Third Proportional to 297,082 and 641,512

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Solution

The third proportional to 297,082 and 641,512 is: 1,385,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,082 : 641,512 = 641,512 : x
  2. Step 2: Convert to fraction form
    297,082/641,512 = 641,512/x
  3. Step 3: Cross multiply
    297,082x = 641,512 × 641,512
  4. Step 4: Simplify right side
    297,082x = 411,537,646,144
  5. Step 5: Solve for x
    x = 411,537,646,144/297,082
  6. Step 6: Final answer
    x = 1,385,266.18

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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.